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Finding the Third Proportional to 12,934.69 and 31,248.28

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Solution

The third proportional to 12,934.69 and 31,248.28 is: 75,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.69 : 31,248.28 = 31,248.28 : x
  2. Step 2: Convert to fraction form
    12,934.69/31,248.28 = 31,248.28/x
  3. Step 3: Cross multiply
    12,934.69x = 31,248.28 × 31,248.28
  4. Step 4: Simplify right side
    12,934.69x = 976,455,081.08
  5. Step 5: Solve for x
    x = 976,455,081.08/12,934.69
  6. Step 6: Final answer
    x = 75,491.20

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.