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Finding the Third Proportional to 10,400.25 and 14,113.13

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Solution

The third proportional to 10,400.25 and 14,113.13 is: 19,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.25 : 14,113.13 = 14,113.13 : x
  2. Step 2: Convert to fraction form
    10,400.25/14,113.13 = 14,113.13/x
  3. Step 3: Cross multiply
    10,400.25x = 14,113.13 × 14,113.13
  4. Step 4: Simplify right side
    10,400.25x = 199,180,297.27
  5. Step 5: Solve for x
    x = 199,180,297.27/10,400.25
  6. Step 6: Final answer
    x = 19,151.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.