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Finding the Third Proportional to 40,930 and 61,547

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Solution

The third proportional to 40,930 and 61,547 is: 92,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,930 : 61,547 = 61,547 : x
  2. Step 2: Convert to fraction form
    40,930/61,547 = 61,547/x
  3. Step 3: Cross multiply
    40,930x = 61,547 × 61,547
  4. Step 4: Simplify right side
    40,930x = 3,788,033,209
  5. Step 5: Solve for x
    x = 3,788,033,209/40,930
  6. Step 6: Final answer
    x = 92,549.06

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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.