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Finding the Third Proportional to 22,230 and 48,590

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Solution

The third proportional to 22,230 and 48,590 is: 106,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,230 : 48,590 = 48,590 : x
  2. Step 2: Convert to fraction form
    22,230/48,590 = 48,590/x
  3. Step 3: Cross multiply
    22,230x = 48,590 × 48,590
  4. Step 4: Simplify right side
    22,230x = 2,360,988,100
  5. Step 5: Solve for x
    x = 2,360,988,100/22,230
  6. Step 6: Final answer
    x = 106,207.29

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1.5x scale

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.