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Finding the Third Proportional to 24,012.07 and 36,095.47

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Solution

The third proportional to 24,012.07 and 36,095.47 is: 54,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,012.07 : 36,095.47 = 36,095.47 : x
  2. Step 2: Convert to fraction form
    24,012.07/36,095.47 = 36,095.47/x
  3. Step 3: Cross multiply
    24,012.07x = 36,095.47 × 36,095.47
  4. Step 4: Simplify right side
    24,012.07x = 1,302,882,723.28
  5. Step 5: Solve for x
    x = 1,302,882,723.28/24,012.07
  6. Step 6: Final answer
    x = 54,259.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.