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Finding the Third Proportional to 24,098.25 and 36,005.63

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Solution

The third proportional to 24,098.25 and 36,005.63 is: 53,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098.25 : 36,005.63 = 36,005.63 : x
  2. Step 2: Convert to fraction form
    24,098.25/36,005.63 = 36,005.63/x
  3. Step 3: Cross multiply
    24,098.25x = 36,005.63 × 36,005.63
  4. Step 4: Simplify right side
    24,098.25x = 1,296,405,031.64
  5. Step 5: Solve for x
    x = 1,296,405,031.64/24,098.25
  6. Step 6: Final answer
    x = 53,796.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.