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Finding the Third Proportional to 31,195.13 and 47,948.63

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Solution

The third proportional to 31,195.13 and 47,948.63 is: 73,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195.13 : 47,948.63 = 47,948.63 : x
  2. Step 2: Convert to fraction form
    31,195.13/47,948.63 = 47,948.63/x
  3. Step 3: Cross multiply
    31,195.13x = 47,948.63 × 47,948.63
  4. Step 4: Simplify right side
    31,195.13x = 2,299,070,639.39
  5. Step 5: Solve for x
    x = 2,299,070,639.39/31,195.13
  6. Step 6: Final answer
    x = 73,699.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.