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Finding the Third Proportional to 4,656.75 and 10,102.13

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Solution

The third proportional to 4,656.75 and 10,102.13 is: 21,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.75 : 10,102.13 = 10,102.13 : x
  2. Step 2: Convert to fraction form
    4,656.75/10,102.13 = 10,102.13/x
  3. Step 3: Cross multiply
    4,656.75x = 10,102.13 × 10,102.13
  4. Step 4: Simplify right side
    4,656.75x = 102,052,929.52
  5. Step 5: Solve for x
    x = 102,052,929.52/4,656.75
  6. Step 6: Final answer
    x = 21,915.05

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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.