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Finding the Third Proportional to 20,695.50 and 24,259.50

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Solution

The third proportional to 20,695.50 and 24,259.50 is: 28,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,695.50 : 24,259.50 = 24,259.50 : x
  2. Step 2: Convert to fraction form
    20,695.50/24,259.50 = 24,259.50/x
  3. Step 3: Cross multiply
    20,695.50x = 24,259.50 × 24,259.50
  4. Step 4: Simplify right side
    20,695.50x = 588,523,340.25
  5. Step 5: Solve for x
    x = 588,523,340.25/20,695.50
  6. Step 6: Final answer
    x = 28,437.26

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.