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Finding the Third Proportional to 31,267.27 and 45,858.66

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Solution

The third proportional to 31,267.27 and 45,858.66 is: 67,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,267.27 : 45,858.66 = 45,858.66 : x
  2. Step 2: Convert to fraction form
    31,267.27/45,858.66 = 45,858.66/x
  3. Step 3: Cross multiply
    31,267.27x = 45,858.66 × 45,858.66
  4. Step 4: Simplify right side
    31,267.27x = 2,103,016,353.06
  5. Step 5: Solve for x
    x = 2,103,016,353.06/31,267.27
  6. Step 6: Final answer
    x = 67,259.36

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.