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Finding the Third Proportional to 10,716.75 and 15,656.25

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Solution

The third proportional to 10,716.75 and 15,656.25 is: 22,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.75 : 15,656.25 = 15,656.25 : x
  2. Step 2: Convert to fraction form
    10,716.75/15,656.25 = 15,656.25/x
  3. Step 3: Cross multiply
    10,716.75x = 15,656.25 × 15,656.25
  4. Step 4: Simplify right side
    10,716.75x = 245,118,164.06
  5. Step 5: Solve for x
    x = 245,118,164.06/10,716.75
  6. Step 6: Final answer
    x = 22,872.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.