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Finding the Third Proportional to 58,951.75 and 83,335.13

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Solution

The third proportional to 58,951.75 and 83,335.13 is: 117,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,951.75 : 83,335.13 = 83,335.13 : x
  2. Step 2: Convert to fraction form
    58,951.75/83,335.13 = 83,335.13/x
  3. Step 3: Cross multiply
    58,951.75x = 83,335.13 × 83,335.13
  4. Step 4: Simplify right side
    58,951.75x = 6,944,743,058.77
  5. Step 5: Solve for x
    x = 6,944,743,058.77/58,951.75
  6. Step 6: Final answer
    x = 117,803.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.