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Finding the Third Proportional to 14,330.25 and 31,060.13

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Solution

The third proportional to 14,330.25 and 31,060.13 is: 67,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,330.25 : 31,060.13 = 31,060.13 : x
  2. Step 2: Convert to fraction form
    14,330.25/31,060.13 = 31,060.13/x
  3. Step 3: Cross multiply
    14,330.25x = 31,060.13 × 31,060.13
  4. Step 4: Simplify right side
    14,330.25x = 964,731,365.02
  5. Step 5: Solve for x
    x = 964,731,365.02/14,330.25
  6. Step 6: Final answer
    x = 67,321.32

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Why These Related Problems?

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