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Finding the Third Proportional to 49,711 and 70,982

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Solution

The third proportional to 49,711 and 70,982 is: 101,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,711 : 70,982 = 70,982 : x
  2. Step 2: Convert to fraction form
    49,711/70,982 = 70,982/x
  3. Step 3: Cross multiply
    49,711x = 70,982 × 70,982
  4. Step 4: Simplify right side
    49,711x = 5,038,444,324
  5. Step 5: Solve for x
    x = 5,038,444,324/49,711
  6. Step 6: Final answer
    x = 101,354.72

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.