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Finding the Third Proportional to 34,772 and 75,448

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Solution

The third proportional to 34,772 and 75,448 is: 163,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,772 : 75,448 = 75,448 : x
  2. Step 2: Convert to fraction form
    34,772/75,448 = 75,448/x
  3. Step 3: Cross multiply
    34,772x = 75,448 × 75,448
  4. Step 4: Simplify right side
    34,772x = 5,692,400,704
  5. Step 5: Solve for x
    x = 5,692,400,704/34,772
  6. Step 6: Final answer
    x = 163,706.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.