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Finding the Third Proportional to 46,701 and 72,432

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Solution

The third proportional to 46,701 and 72,432 is: 112,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,701 : 72,432 = 72,432 : x
  2. Step 2: Convert to fraction form
    46,701/72,432 = 72,432/x
  3. Step 3: Cross multiply
    46,701x = 72,432 × 72,432
  4. Step 4: Simplify right side
    46,701x = 5,246,394,624
  5. Step 5: Solve for x
    x = 5,246,394,624/46,701
  6. Step 6: Final answer
    x = 112,340.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.