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Finding the Third Proportional to 4,670 and 10,261

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Solution

The third proportional to 4,670 and 10,261 is: 22,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670 : 10,261 = 10,261 : x
  2. Step 2: Convert to fraction form
    4,670/10,261 = 10,261/x
  3. Step 3: Cross multiply
    4,670x = 10,261 × 10,261
  4. Step 4: Simplify right side
    4,670x = 105,288,121
  5. Step 5: Solve for x
    x = 105,288,121/4,670
  6. Step 6: Final answer
    x = 22,545.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.