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Finding the Third Proportional to 42,501.38 and 63,758.81

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Solution

The third proportional to 42,501.38 and 63,758.81 is: 95,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,501.38 : 63,758.81 = 63,758.81 : x
  2. Step 2: Convert to fraction form
    42,501.38/63,758.81 = 63,758.81/x
  3. Step 3: Cross multiply
    42,501.38x = 63,758.81 × 63,758.81
  4. Step 4: Simplify right side
    42,501.38x = 4,065,186,171.41
  5. Step 5: Solve for x
    x = 4,065,186,171.41/42,501.38
  6. Step 6: Final answer
    x = 95,648.34

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