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Finding the Third Proportional to 14,149.50 and 19,148.31

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Solution

The third proportional to 14,149.50 and 19,148.31 is: 25,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.50 : 19,148.31 = 19,148.31 : x
  2. Step 2: Convert to fraction form
    14,149.50/19,148.31 = 19,148.31/x
  3. Step 3: Cross multiply
    14,149.50x = 19,148.31 × 19,148.31
  4. Step 4: Simplify right side
    14,149.50x = 366,657,871.60
  5. Step 5: Solve for x
    x = 366,657,871.60/14,149.50
  6. Step 6: Final answer
    x = 25,913.13

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.