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Finding the Third Proportional to 10,759.50 and 15,820.31

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Solution

The third proportional to 10,759.50 and 15,820.31 is: 23,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.50 : 15,820.31 = 15,820.31 : x
  2. Step 2: Convert to fraction form
    10,759.50/15,820.31 = 15,820.31/x
  3. Step 3: Cross multiply
    10,759.50x = 15,820.31 × 15,820.31
  4. Step 4: Simplify right side
    10,759.50x = 250,282,287.60
  5. Step 5: Solve for x
    x = 250,282,287.60/10,759.50
  6. Step 6: Final answer
    x = 23,261.52

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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.