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Finding the Third Proportional to 10,023.75 and 14,947.88

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Solution

The third proportional to 10,023.75 and 14,947.88 is: 22,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.75 : 14,947.88 = 14,947.88 : x
  2. Step 2: Convert to fraction form
    10,023.75/14,947.88 = 14,947.88/x
  3. Step 3: Cross multiply
    10,023.75x = 14,947.88 × 14,947.88
  4. Step 4: Simplify right side
    10,023.75x = 223,438,967.02
  5. Step 5: Solve for x
    x = 223,438,967.02/10,023.75
  6. Step 6: Final answer
    x = 22,290.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.