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Finding the Third Proportional to 19,691.50 and 29,901.50

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Solution

The third proportional to 19,691.50 and 29,901.50 is: 45,405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.50 : 29,901.50 = 29,901.50 : x
  2. Step 2: Convert to fraction form
    19,691.50/29,901.50 = 29,901.50/x
  3. Step 3: Cross multiply
    19,691.50x = 29,901.50 × 29,901.50
  4. Step 4: Simplify right side
    19,691.50x = 894,099,702.25
  5. Step 5: Solve for x
    x = 894,099,702.25/19,691.50
  6. Step 6: Final answer
    x = 45,405.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.