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Finding the Third Proportional to 14,542.88 and 31,414.50

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Solution

The third proportional to 14,542.88 and 31,414.50 is: 67,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.88 : 31,414.50 = 31,414.50 : x
  2. Step 2: Convert to fraction form
    14,542.88/31,414.50 = 31,414.50/x
  3. Step 3: Cross multiply
    14,542.88x = 31,414.50 × 31,414.50
  4. Step 4: Simplify right side
    14,542.88x = 986,870,810.25
  5. Step 5: Solve for x
    x = 986,870,810.25/14,542.88
  6. Step 6: Final answer
    x = 67,859.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.