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Finding the Third Proportional to 53.47 and 74.04

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Solution

The third proportional to 53.47 and 74.04 is: 102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.47 : 74.04 = 74.04 : x
  2. Step 2: Convert to fraction form
    53.47/74.04 = 74.04/x
  3. Step 3: Cross multiply
    53.47x = 74.04 × 74.04
  4. Step 4: Simplify right side
    53.47x = 5,481.78
  5. Step 5: Solve for x
    x = 5,481.78/53.47
  6. Step 6: Final answer
    x = 102.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.