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Finding the Third Proportional to 14,666.25 and 22,719.75

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Solution

The third proportional to 14,666.25 and 22,719.75 is: 35,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,666.25 : 22,719.75 = 22,719.75 : x
  2. Step 2: Convert to fraction form
    14,666.25/22,719.75 = 22,719.75/x
  3. Step 3: Cross multiply
    14,666.25x = 22,719.75 × 22,719.75
  4. Step 4: Simplify right side
    14,666.25x = 516,187,040.06
  5. Step 5: Solve for x
    x = 516,187,040.06/14,666.25
  6. Step 6: Final answer
    x = 35,195.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.