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Finding the Third Proportional to 14,577.47 and 31,793.77

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Solution

The third proportional to 14,577.47 and 31,793.77 is: 69,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.47 : 31,793.77 = 31,793.77 : x
  2. Step 2: Convert to fraction form
    14,577.47/31,793.77 = 31,793.77/x
  3. Step 3: Cross multiply
    14,577.47x = 31,793.77 × 31,793.77
  4. Step 4: Simplify right side
    14,577.47x = 1,010,843,532.62
  5. Step 5: Solve for x
    x = 1,010,843,532.62/14,577.47
  6. Step 6: Final answer
    x = 69,342.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.