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Finding the Third Proportional to 35,542 and 74,772

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Solution

The third proportional to 35,542 and 74,772 is: 157,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,542 : 74,772 = 74,772 : x
  2. Step 2: Convert to fraction form
    35,542/74,772 = 74,772/x
  3. Step 3: Cross multiply
    35,542x = 74,772 × 74,772
  4. Step 4: Simplify right side
    35,542x = 5,590,851,984
  5. Step 5: Solve for x
    x = 5,590,851,984/35,542
  6. Step 6: Final answer
    x = 157,302.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.