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Finding the Third Proportional to 17,856.49 and 26,697.30

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Solution

The third proportional to 17,856.49 and 26,697.30 is: 39,915.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.49 : 26,697.30 = 26,697.30 : x
  2. Step 2: Convert to fraction form
    17,856.49/26,697.30 = 26,697.30/x
  3. Step 3: Cross multiply
    17,856.49x = 26,697.30 × 26,697.30
  4. Step 4: Simplify right side
    17,856.49x = 712,746,077.58
  5. Step 5: Solve for x
    x = 712,746,077.58/17,856.49
  6. Step 6: Final answer
    x = 39,915.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.