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Finding the Third Proportional to 45,827 and 70,957

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Solution

The third proportional to 45,827 and 70,957 is: 109,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,827 : 70,957 = 70,957 : x
  2. Step 2: Convert to fraction form
    45,827/70,957 = 70,957/x
  3. Step 3: Cross multiply
    45,827x = 70,957 × 70,957
  4. Step 4: Simplify right side
    45,827x = 5,034,895,849
  5. Step 5: Solve for x
    x = 5,034,895,849/45,827
  6. Step 6: Final answer
    x = 109,867.45

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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.