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Finding the Third Proportional to 12,742.31 and 26,646.47

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Solution

The third proportional to 12,742.31 and 26,646.47 is: 55,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.31 : 26,646.47 = 26,646.47 : x
  2. Step 2: Convert to fraction form
    12,742.31/26,646.47 = 26,646.47/x
  3. Step 3: Cross multiply
    12,742.31x = 26,646.47 × 26,646.47
  4. Step 4: Simplify right side
    12,742.31x = 710,034,296.84
  5. Step 5: Solve for x
    x = 710,034,296.84/12,742.31
  6. Step 6: Final answer
    x = 55,722.56

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.