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Finding the Third Proportional to 4,560.75 and 11,071.13

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Solution

The third proportional to 4,560.75 and 11,071.13 is: 26,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.75 : 11,071.13 = 11,071.13 : x
  2. Step 2: Convert to fraction form
    4,560.75/11,071.13 = 11,071.13/x
  3. Step 3: Cross multiply
    4,560.75x = 11,071.13 × 11,071.13
  4. Step 4: Simplify right side
    4,560.75x = 122,569,808.77
  5. Step 5: Solve for x
    x = 122,569,808.77/4,560.75
  6. Step 6: Final answer
    x = 26,874.92

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.