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Finding the Third Proportional to 45,711 and 70,638

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Solution

The third proportional to 45,711 and 70,638 is: 109,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,711 : 70,638 = 70,638 : x
  2. Step 2: Convert to fraction form
    45,711/70,638 = 70,638/x
  3. Step 3: Cross multiply
    45,711x = 70,638 × 70,638
  4. Step 4: Simplify right side
    45,711x = 4,989,727,044
  5. Step 5: Solve for x
    x = 4,989,727,044/45,711
  6. Step 6: Final answer
    x = 109,158.12

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