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Finding the Third Proportional to 32,228 and 49,590

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Solution

The third proportional to 32,228 and 49,590 is: 76,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,228 : 49,590 = 49,590 : x
  2. Step 2: Convert to fraction form
    32,228/49,590 = 49,590/x
  3. Step 3: Cross multiply
    32,228x = 49,590 × 49,590
  4. Step 4: Simplify right side
    32,228x = 2,459,168,100
  5. Step 5: Solve for x
    x = 2,459,168,100/32,228
  6. Step 6: Final answer
    x = 76,305.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.