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Finding the Third Proportional to 35,232 and 75,792

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Solution

The third proportional to 35,232 and 75,792 is: 163,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,232 : 75,792 = 75,792 : x
  2. Step 2: Convert to fraction form
    35,232/75,792 = 75,792/x
  3. Step 3: Cross multiply
    35,232x = 75,792 × 75,792
  4. Step 4: Simplify right side
    35,232x = 5,744,427,264
  5. Step 5: Solve for x
    x = 5,744,427,264/35,232
  6. Step 6: Final answer
    x = 163,045.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.