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Finding the Third Proportional to 28,582 and 38,556

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Solution

The third proportional to 28,582 and 38,556 is: 52,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,582 : 38,556 = 38,556 : x
  2. Step 2: Convert to fraction form
    28,582/38,556 = 38,556/x
  3. Step 3: Cross multiply
    28,582x = 38,556 × 38,556
  4. Step 4: Simplify right side
    28,582x = 1,486,565,136
  5. Step 5: Solve for x
    x = 1,486,565,136/28,582
  6. Step 6: Final answer
    x = 52,010.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.