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Finding the Third Proportional to 40,032 and 53,710

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Solution

The third proportional to 40,032 and 53,710 is: 72,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,032 : 53,710 = 53,710 : x
  2. Step 2: Convert to fraction form
    40,032/53,710 = 53,710/x
  3. Step 3: Cross multiply
    40,032x = 53,710 × 53,710
  4. Step 4: Simplify right side
    40,032x = 2,884,764,100
  5. Step 5: Solve for x
    x = 2,884,764,100/40,032
  6. Step 6: Final answer
    x = 72,061.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.