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Finding the Third Proportional to 14,571.14 and 22,500.28

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Solution

The third proportional to 14,571.14 and 22,500.28 is: 34,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.14 : 22,500.28 = 22,500.28 : x
  2. Step 2: Convert to fraction form
    14,571.14/22,500.28 = 22,500.28/x
  3. Step 3: Cross multiply
    14,571.14x = 22,500.28 × 22,500.28
  4. Step 4: Simplify right side
    14,571.14x = 506,262,656.33
  5. Step 5: Solve for x
    x = 506,262,656.33/14,571.14
  6. Step 6: Final answer
    x = 34,744.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.