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Finding the Third Proportional to 63,023.50 and 97,634

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Solution

The third proportional to 63,023.50 and 97,634 is: 151,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,023.50 : 97,634 = 97,634 : x
  2. Step 2: Convert to fraction form
    63,023.50/97,634 = 97,634/x
  3. Step 3: Cross multiply
    63,023.50x = 97,634 × 97,634
  4. Step 4: Simplify right side
    63,023.50x = 9,532,397,956
  5. Step 5: Solve for x
    x = 9,532,397,956/63,023.50
  6. Step 6: Final answer
    x = 151,251.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.