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Finding the Third Proportional to 38,746 and 59,871

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Solution

The third proportional to 38,746 and 59,871 is: 92,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,746 : 59,871 = 59,871 : x
  2. Step 2: Convert to fraction form
    38,746/59,871 = 59,871/x
  3. Step 3: Cross multiply
    38,746x = 59,871 × 59,871
  4. Step 4: Simplify right side
    38,746x = 3,584,536,641
  5. Step 5: Solve for x
    x = 3,584,536,641/38,746
  6. Step 6: Final answer
    x = 92,513.72

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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.