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Finding the Third Proportional to 15,876.75 and 17,491.50

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Solution

The third proportional to 15,876.75 and 17,491.50 is: 19,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.75 : 17,491.50 = 17,491.50 : x
  2. Step 2: Convert to fraction form
    15,876.75/17,491.50 = 17,491.50/x
  3. Step 3: Cross multiply
    15,876.75x = 17,491.50 × 17,491.50
  4. Step 4: Simplify right side
    15,876.75x = 305,952,572.25
  5. Step 5: Solve for x
    x = 305,952,572.25/15,876.75
  6. Step 6: Final answer
    x = 19,270.48

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.