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Finding the Third Proportional to 29,170.13 and 42,823.69

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Solution

The third proportional to 29,170.13 and 42,823.69 is: 62,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,170.13 : 42,823.69 = 42,823.69 : x
  2. Step 2: Convert to fraction form
    29,170.13/42,823.69 = 42,823.69/x
  3. Step 3: Cross multiply
    29,170.13x = 42,823.69 × 42,823.69
  4. Step 4: Simplify right side
    29,170.13x = 1,833,868,211.10
  5. Step 5: Solve for x
    x = 1,833,868,211.10/29,170.13
  6. Step 6: Final answer
    x = 62,868.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.