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Finding the Third Proportional to 10,012.50 and 15,706.13

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Solution

The third proportional to 10,012.50 and 15,706.13 is: 24,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.50 : 15,706.13 = 15,706.13 : x
  2. Step 2: Convert to fraction form
    10,012.50/15,706.13 = 15,706.13/x
  3. Step 3: Cross multiply
    10,012.50x = 15,706.13 × 15,706.13
  4. Step 4: Simplify right side
    10,012.50x = 246,682,362.52
  5. Step 5: Solve for x
    x = 246,682,362.52/10,012.50
  6. Step 6: Final answer
    x = 24,637.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.