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Finding the Third Proportional to 45,432 and 69,588

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Solution

The third proportional to 45,432 and 69,588 is: 106,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,432 : 69,588 = 69,588 : x
  2. Step 2: Convert to fraction form
    45,432/69,588 = 69,588/x
  3. Step 3: Cross multiply
    45,432x = 69,588 × 69,588
  4. Step 4: Simplify right side
    45,432x = 4,842,489,744
  5. Step 5: Solve for x
    x = 4,842,489,744/45,432
  6. Step 6: Final answer
    x = 106,587.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.