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Finding the Third Proportional to 10,648.50 and 15,979.50

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Solution

The third proportional to 10,648.50 and 15,979.50 is: 23,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.50 : 15,979.50 = 15,979.50 : x
  2. Step 2: Convert to fraction form
    10,648.50/15,979.50 = 15,979.50/x
  3. Step 3: Cross multiply
    10,648.50x = 15,979.50 × 15,979.50
  4. Step 4: Simplify right side
    10,648.50x = 255,344,420.25
  5. Step 5: Solve for x
    x = 255,344,420.25/10,648.50
  6. Step 6: Final answer
    x = 23,979.38

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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.