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Finding the Third Proportional to 37,586 and 52,547

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Solution

The third proportional to 37,586 and 52,547 is: 73,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,586 : 52,547 = 52,547 : x
  2. Step 2: Convert to fraction form
    37,586/52,547 = 52,547/x
  3. Step 3: Cross multiply
    37,586x = 52,547 × 52,547
  4. Step 4: Simplify right side
    37,586x = 2,761,187,209
  5. Step 5: Solve for x
    x = 2,761,187,209/37,586
  6. Step 6: Final answer
    x = 73,463.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.