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Finding the Third Proportional to 38,260 and 63,226

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Solution

The third proportional to 38,260 and 63,226 is: 104,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,260 : 63,226 = 63,226 : x
  2. Step 2: Convert to fraction form
    38,260/63,226 = 63,226/x
  3. Step 3: Cross multiply
    38,260x = 63,226 × 63,226
  4. Step 4: Simplify right side
    38,260x = 3,997,527,076
  5. Step 5: Solve for x
    x = 3,997,527,076/38,260
  6. Step 6: Final answer
    x = 104,483.20

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.