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Finding the Third Proportional to 32,492 and 47,586

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Solution

The third proportional to 32,492 and 47,586 is: 69,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492 : 47,586 = 47,586 : x
  2. Step 2: Convert to fraction form
    32,492/47,586 = 47,586/x
  3. Step 3: Cross multiply
    32,492x = 47,586 × 47,586
  4. Step 4: Simplify right side
    32,492x = 2,264,427,396
  5. Step 5: Solve for x
    x = 2,264,427,396/32,492
  6. Step 6: Final answer
    x = 69,691.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.