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Finding the Third Proportional to 36,259 and 52,810

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Solution

The third proportional to 36,259 and 52,810 is: 76,915.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,259 : 52,810 = 52,810 : x
  2. Step 2: Convert to fraction form
    36,259/52,810 = 52,810/x
  3. Step 3: Cross multiply
    36,259x = 52,810 × 52,810
  4. Step 4: Simplify right side
    36,259x = 2,788,896,100
  5. Step 5: Solve for x
    x = 2,788,896,100/36,259
  6. Step 6: Final answer
    x = 76,915.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.