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Finding the Third Proportional to 45,790 and 70,864

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Solution

The third proportional to 45,790 and 70,864 is: 109,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,790 : 70,864 = 70,864 : x
  2. Step 2: Convert to fraction form
    45,790/70,864 = 70,864/x
  3. Step 3: Cross multiply
    45,790x = 70,864 × 70,864
  4. Step 4: Simplify right side
    45,790x = 5,021,706,496
  5. Step 5: Solve for x
    x = 5,021,706,496/45,790
  6. Step 6: Final answer
    x = 109,668.19

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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.