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Finding the Third Proportional to 19,429 and 41,614.50

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Solution

The third proportional to 19,429 and 41,614.50 is: 89,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,429 : 41,614.50 = 41,614.50 : x
  2. Step 2: Convert to fraction form
    19,429/41,614.50 = 41,614.50/x
  3. Step 3: Cross multiply
    19,429x = 41,614.50 × 41,614.50
  4. Step 4: Simplify right side
    19,429x = 1,731,766,610.25
  5. Step 5: Solve for x
    x = 1,731,766,610.25/19,429
  6. Step 6: Final answer
    x = 89,133.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.