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Finding the Third Proportional to 24,289.88 and 36,941.06

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Solution

The third proportional to 24,289.88 and 36,941.06 is: 56,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.88 : 36,941.06 = 36,941.06 : x
  2. Step 2: Convert to fraction form
    24,289.88/36,941.06 = 36,941.06/x
  3. Step 3: Cross multiply
    24,289.88x = 36,941.06 × 36,941.06
  4. Step 4: Simplify right side
    24,289.88x = 1,364,642,098.63
  5. Step 5: Solve for x
    x = 1,364,642,098.63/24,289.88
  6. Step 6: Final answer
    x = 56,181.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.