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Finding the Third Proportional to 30,871.13 and 62,835.75

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Solution

The third proportional to 30,871.13 and 62,835.75 is: 127,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.13 : 62,835.75 = 62,835.75 : x
  2. Step 2: Convert to fraction form
    30,871.13/62,835.75 = 62,835.75/x
  3. Step 3: Cross multiply
    30,871.13x = 62,835.75 × 62,835.75
  4. Step 4: Simplify right side
    30,871.13x = 3,948,331,478.06
  5. Step 5: Solve for x
    x = 3,948,331,478.06/30,871.13
  6. Step 6: Final answer
    x = 127,897.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.