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Finding the Third Proportional to 27,569 and 43,716

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Solution

The third proportional to 27,569 and 43,716 is: 69,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569 : 43,716 = 43,716 : x
  2. Step 2: Convert to fraction form
    27,569/43,716 = 43,716/x
  3. Step 3: Cross multiply
    27,569x = 43,716 × 43,716
  4. Step 4: Simplify right side
    27,569x = 1,911,088,656
  5. Step 5: Solve for x
    x = 1,911,088,656/27,569
  6. Step 6: Final answer
    x = 69,320.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.