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Finding the Third Proportional to 2,561 and 5,527

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Solution

The third proportional to 2,561 and 5,527 is: 11,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561 : 5,527 = 5,527 : x
  2. Step 2: Convert to fraction form
    2,561/5,527 = 5,527/x
  3. Step 3: Cross multiply
    2,561x = 5,527 × 5,527
  4. Step 4: Simplify right side
    2,561x = 30,547,729
  5. Step 5: Solve for x
    x = 30,547,729/2,561
  6. Step 6: Final answer
    x = 11,928.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.