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Finding the Third Proportional to 42,253.31 and 63,248.34

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Solution

The third proportional to 42,253.31 and 63,248.34 is: 94,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,253.31 : 63,248.34 = 63,248.34 : x
  2. Step 2: Convert to fraction form
    42,253.31/63,248.34 = 63,248.34/x
  3. Step 3: Cross multiply
    42,253.31x = 63,248.34 × 63,248.34
  4. Step 4: Simplify right side
    42,253.31x = 4,000,352,987.12
  5. Step 5: Solve for x
    x = 4,000,352,987.12/42,253.31
  6. Step 6: Final answer
    x = 94,675.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.