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Finding the Third Proportional to 16,382 and 24,547

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Solution

The third proportional to 16,382 and 24,547 is: 36,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382 : 24,547 = 24,547 : x
  2. Step 2: Convert to fraction form
    16,382/24,547 = 24,547/x
  3. Step 3: Cross multiply
    16,382x = 24,547 × 24,547
  4. Step 4: Simplify right side
    16,382x = 602,555,209
  5. Step 5: Solve for x
    x = 602,555,209/16,382
  6. Step 6: Final answer
    x = 36,781.54

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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.