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Finding the Third Proportional to 45,874 and 64,599

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Solution

The third proportional to 45,874 and 64,599 is: 90,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,874 : 64,599 = 64,599 : x
  2. Step 2: Convert to fraction form
    45,874/64,599 = 64,599/x
  3. Step 3: Cross multiply
    45,874x = 64,599 × 64,599
  4. Step 4: Simplify right side
    45,874x = 4,173,030,801
  5. Step 5: Solve for x
    x = 4,173,030,801/45,874
  6. Step 6: Final answer
    x = 90,967.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.