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Finding the Third Proportional to 9,438 and 14,695.50

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Solution

The third proportional to 9,438 and 14,695.50 is: 22,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438 : 14,695.50 = 14,695.50 : x
  2. Step 2: Convert to fraction form
    9,438/14,695.50 = 14,695.50/x
  3. Step 3: Cross multiply
    9,438x = 14,695.50 × 14,695.50
  4. Step 4: Simplify right side
    9,438x = 215,957,720.25
  5. Step 5: Solve for x
    x = 215,957,720.25/9,438
  6. Step 6: Final answer
    x = 22,881.72

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.