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Finding the Third Proportional to 10,102 and 22,130

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Solution

The third proportional to 10,102 and 22,130 is: 48,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102 : 22,130 = 22,130 : x
  2. Step 2: Convert to fraction form
    10,102/22,130 = 22,130/x
  3. Step 3: Cross multiply
    10,102x = 22,130 × 22,130
  4. Step 4: Simplify right side
    10,102x = 489,736,900
  5. Step 5: Solve for x
    x = 489,736,900/10,102
  6. Step 6: Final answer
    x = 48,479.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.