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Finding the Third Proportional to 7,937.16 and 12,557.53

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Solution

The third proportional to 7,937.16 and 12,557.53 is: 19,867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.16 : 12,557.53 = 12,557.53 : x
  2. Step 2: Convert to fraction form
    7,937.16/12,557.53 = 12,557.53/x
  3. Step 3: Cross multiply
    7,937.16x = 12,557.53 × 12,557.53
  4. Step 4: Simplify right side
    7,937.16x = 157,691,591.09
  5. Step 5: Solve for x
    x = 157,691,591.09/7,937.16
  6. Step 6: Final answer
    x = 19,867.52

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.