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Finding the Third Proportional to 41,492 and 59,646

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Solution

The third proportional to 41,492 and 59,646 is: 85,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,492 : 59,646 = 59,646 : x
  2. Step 2: Convert to fraction form
    41,492/59,646 = 59,646/x
  3. Step 3: Cross multiply
    41,492x = 59,646 × 59,646
  4. Step 4: Simplify right side
    41,492x = 3,557,645,316
  5. Step 5: Solve for x
    x = 3,557,645,316/41,492
  6. Step 6: Final answer
    x = 85,742.92

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.