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Finding the Third Proportional to 22,210 and 47,585

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Solution

The third proportional to 22,210 and 47,585 is: 101,951.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,210 : 47,585 = 47,585 : x
  2. Step 2: Convert to fraction form
    22,210/47,585 = 47,585/x
  3. Step 3: Cross multiply
    22,210x = 47,585 × 47,585
  4. Step 4: Simplify right side
    22,210x = 2,264,332,225
  5. Step 5: Solve for x
    x = 2,264,332,225/22,210
  6. Step 6: Final answer
    x = 101,951.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.