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Finding the Third Proportional to 10,972.50 and 25,887

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Solution

The third proportional to 10,972.50 and 25,887 is: 61,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.50 : 25,887 = 25,887 : x
  2. Step 2: Convert to fraction form
    10,972.50/25,887 = 25,887/x
  3. Step 3: Cross multiply
    10,972.50x = 25,887 × 25,887
  4. Step 4: Simplify right side
    10,972.50x = 670,136,769
  5. Step 5: Solve for x
    x = 670,136,769/10,972.50
  6. Step 6: Final answer
    x = 61,074.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.