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Finding the Third Proportional to 14,591.25 and 31,125.38

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Solution

The third proportional to 14,591.25 and 31,125.38 is: 66,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.25 : 31,125.38 = 31,125.38 : x
  2. Step 2: Convert to fraction form
    14,591.25/31,125.38 = 31,125.38/x
  3. Step 3: Cross multiply
    14,591.25x = 31,125.38 × 31,125.38
  4. Step 4: Simplify right side
    14,591.25x = 968,788,968.89
  5. Step 5: Solve for x
    x = 968,788,968.89/14,591.25
  6. Step 6: Final answer
    x = 66,395.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.