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Finding the Third Proportional to 14,387.63 and 31,189.50

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Solution

The third proportional to 14,387.63 and 31,189.50 is: 67,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,387.63 : 31,189.50 = 31,189.50 : x
  2. Step 2: Convert to fraction form
    14,387.63/31,189.50 = 31,189.50/x
  3. Step 3: Cross multiply
    14,387.63x = 31,189.50 × 31,189.50
  4. Step 4: Simplify right side
    14,387.63x = 972,784,910.25
  5. Step 5: Solve for x
    x = 972,784,910.25/14,387.63
  6. Step 6: Final answer
    x = 67,612.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.