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Finding the Third Proportional to 11,564 and 25,716

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Solution

The third proportional to 11,564 and 25,716 is: 57,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564 : 25,716 = 25,716 : x
  2. Step 2: Convert to fraction form
    11,564/25,716 = 25,716/x
  3. Step 3: Cross multiply
    11,564x = 25,716 × 25,716
  4. Step 4: Simplify right side
    11,564x = 661,312,656
  5. Step 5: Solve for x
    x = 661,312,656/11,564
  6. Step 6: Final answer
    x = 57,187.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.