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Finding the Third Proportional to 9,768 and 15,486

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Solution

The third proportional to 9,768 and 15,486 is: 24,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768 : 15,486 = 15,486 : x
  2. Step 2: Convert to fraction form
    9,768/15,486 = 15,486/x
  3. Step 3: Cross multiply
    9,768x = 15,486 × 15,486
  4. Step 4: Simplify right side
    9,768x = 239,816,196
  5. Step 5: Solve for x
    x = 239,816,196/9,768
  6. Step 6: Final answer
    x = 24,551.21

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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.