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Finding the Third Proportional to 37,732 and 77,352

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Solution

The third proportional to 37,732 and 77,352 is: 158,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,732 : 77,352 = 77,352 : x
  2. Step 2: Convert to fraction form
    37,732/77,352 = 77,352/x
  3. Step 3: Cross multiply
    37,732x = 77,352 × 77,352
  4. Step 4: Simplify right side
    37,732x = 5,983,331,904
  5. Step 5: Solve for x
    x = 5,983,331,904/37,732
  6. Step 6: Final answer
    x = 158,574.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.