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Finding the Third Proportional to 14,513 and 21,713.25

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Solution

The third proportional to 14,513 and 21,713.25 is: 32,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513 : 21,713.25 = 21,713.25 : x
  2. Step 2: Convert to fraction form
    14,513/21,713.25 = 21,713.25/x
  3. Step 3: Cross multiply
    14,513x = 21,713.25 × 21,713.25
  4. Step 4: Simplify right side
    14,513x = 471,465,225.56
  5. Step 5: Solve for x
    x = 471,465,225.56/14,513
  6. Step 6: Final answer
    x = 32,485.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.