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Finding the Third Proportional to 2,358 and 5,463

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Solution

The third proportional to 2,358 and 5,463 is: 12,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358 : 5,463 = 5,463 : x
  2. Step 2: Convert to fraction form
    2,358/5,463 = 5,463/x
  3. Step 3: Cross multiply
    2,358x = 5,463 × 5,463
  4. Step 4: Simplify right side
    2,358x = 29,844,369
  5. Step 5: Solve for x
    x = 29,844,369/2,358
  6. Step 6: Final answer
    x = 12,656.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.