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Finding the Third Proportional to 27,768 and 62,506

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Solution

The third proportional to 27,768 and 62,506 is: 140,701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768 : 62,506 = 62,506 : x
  2. Step 2: Convert to fraction form
    27,768/62,506 = 62,506/x
  3. Step 3: Cross multiply
    27,768x = 62,506 × 62,506
  4. Step 4: Simplify right side
    27,768x = 3,907,000,036
  5. Step 5: Solve for x
    x = 3,907,000,036/27,768
  6. Step 6: Final answer
    x = 140,701.53

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.