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Finding the Third Proportional to 2,345.84 and 5,097.30

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Solution

The third proportional to 2,345.84 and 5,097.30 is: 11,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.84 : 5,097.30 = 5,097.30 : x
  2. Step 2: Convert to fraction form
    2,345.84/5,097.30 = 5,097.30/x
  3. Step 3: Cross multiply
    2,345.84x = 5,097.30 × 5,097.30
  4. Step 4: Simplify right side
    2,345.84x = 25,982,515.08
  5. Step 5: Solve for x
    x = 25,982,515.08/2,345.84
  6. Step 6: Final answer
    x = 11,076.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.