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Finding the Third Proportional to 12,717 and 23,854.50

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Solution

The third proportional to 12,717 and 23,854.50 is: 44,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717 : 23,854.50 = 23,854.50 : x
  2. Step 2: Convert to fraction form
    12,717/23,854.50 = 23,854.50/x
  3. Step 3: Cross multiply
    12,717x = 23,854.50 × 23,854.50
  4. Step 4: Simplify right side
    12,717x = 569,037,170.25
  5. Step 5: Solve for x
    x = 569,037,170.25/12,717
  6. Step 6: Final answer
    x = 44,746.18

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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.