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Finding the Third Proportional to 21,642.75 and 29,146.50

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Solution

The third proportional to 21,642.75 and 29,146.50 is: 39,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.75 : 29,146.50 = 29,146.50 : x
  2. Step 2: Convert to fraction form
    21,642.75/29,146.50 = 29,146.50/x
  3. Step 3: Cross multiply
    21,642.75x = 29,146.50 × 29,146.50
  4. Step 4: Simplify right side
    21,642.75x = 849,518,462.25
  5. Step 5: Solve for x
    x = 849,518,462.25/21,642.75
  6. Step 6: Final answer
    x = 39,251.87

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.