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Finding the Third Proportional to 29,281.50 and 42,079.50

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Solution

The third proportional to 29,281.50 and 42,079.50 is: 60,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,281.50 : 42,079.50 = 42,079.50 : x
  2. Step 2: Convert to fraction form
    29,281.50/42,079.50 = 42,079.50/x
  3. Step 3: Cross multiply
    29,281.50x = 42,079.50 × 42,079.50
  4. Step 4: Simplify right side
    29,281.50x = 1,770,684,320.25
  5. Step 5: Solve for x
    x = 1,770,684,320.25/29,281.50
  6. Step 6: Final answer
    x = 60,471.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.