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Finding the Third Proportional to 28,017 and 38,587.50

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Solution

The third proportional to 28,017 and 38,587.50 is: 53,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,017 : 38,587.50 = 38,587.50 : x
  2. Step 2: Convert to fraction form
    28,017/38,587.50 = 38,587.50/x
  3. Step 3: Cross multiply
    28,017x = 38,587.50 × 38,587.50
  4. Step 4: Simplify right side
    28,017x = 1,488,995,156.25
  5. Step 5: Solve for x
    x = 1,488,995,156.25/28,017
  6. Step 6: Final answer
    x = 53,146.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.