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Finding the Third Proportional to 35,754 and 52,598

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Solution

The third proportional to 35,754 and 52,598 is: 77,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,754 : 52,598 = 52,598 : x
  2. Step 2: Convert to fraction form
    35,754/52,598 = 52,598/x
  3. Step 3: Cross multiply
    35,754x = 52,598 × 52,598
  4. Step 4: Simplify right side
    35,754x = 2,766,549,604
  5. Step 5: Solve for x
    x = 2,766,549,604/35,754
  6. Step 6: Final answer
    x = 77,377.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.