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Finding the Third Proportional to 24,547.50 and 37,752.75

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Solution

The third proportional to 24,547.50 and 37,752.75 is: 58,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.50 : 37,752.75 = 37,752.75 : x
  2. Step 2: Convert to fraction form
    24,547.50/37,752.75 = 37,752.75/x
  3. Step 3: Cross multiply
    24,547.50x = 37,752.75 × 37,752.75
  4. Step 4: Simplify right side
    24,547.50x = 1,425,270,132.56
  5. Step 5: Solve for x
    x = 1,425,270,132.56/24,547.50
  6. Step 6: Final answer
    x = 58,061.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.