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Finding the Third Proportional to 24,727.50 and 36,547.88

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Solution

The third proportional to 24,727.50 and 36,547.88 is: 54,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,727.50 : 36,547.88 = 36,547.88 : x
  2. Step 2: Convert to fraction form
    24,727.50/36,547.88 = 36,547.88/x
  3. Step 3: Cross multiply
    24,727.50x = 36,547.88 × 36,547.88
  4. Step 4: Simplify right side
    24,727.50x = 1,335,747,167.02
  5. Step 5: Solve for x
    x = 1,335,747,167.02/24,727.50
  6. Step 6: Final answer
    x = 54,018.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.