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Finding the Third Proportional to 42,309 and 63,470.25

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Solution

The third proportional to 42,309 and 63,470.25 is: 95,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,309 : 63,470.25 = 63,470.25 : x
  2. Step 2: Convert to fraction form
    42,309/63,470.25 = 63,470.25/x
  3. Step 3: Cross multiply
    42,309x = 63,470.25 × 63,470.25
  4. Step 4: Simplify right side
    42,309x = 4,028,472,635.06
  5. Step 5: Solve for x
    x = 4,028,472,635.06/42,309
  6. Step 6: Final answer
    x = 95,215.50

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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.