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Finding the Third Proportional to 1,156.78 and 2,497.78

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Solution

The third proportional to 1,156.78 and 2,497.78 is: 5,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.78 : 2,497.78 = 2,497.78 : x
  2. Step 2: Convert to fraction form
    1,156.78/2,497.78 = 2,497.78/x
  3. Step 3: Cross multiply
    1,156.78x = 2,497.78 × 2,497.78
  4. Step 4: Simplify right side
    1,156.78x = 6,238,911.17
  5. Step 5: Solve for x
    x = 6,238,911.17/1,156.78
  6. Step 6: Final answer
    x = 5,393.34

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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.