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Finding the Third Proportional to 9,472.13 and 14,858.72

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Solution

The third proportional to 9,472.13 and 14,858.72 is: 23,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.13 : 14,858.72 = 14,858.72 : x
  2. Step 2: Convert to fraction form
    9,472.13/14,858.72 = 14,858.72/x
  3. Step 3: Cross multiply
    9,472.13x = 14,858.72 × 14,858.72
  4. Step 4: Simplify right side
    9,472.13x = 220,781,522.89
  5. Step 5: Solve for x
    x = 220,781,522.89/9,472.13
  6. Step 6: Final answer
    x = 23,308.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.