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Finding the Third Proportional to 28,165 and 52,781.50

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Solution

The third proportional to 28,165 and 52,781.50 is: 98,913.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,165 : 52,781.50 = 52,781.50 : x
  2. Step 2: Convert to fraction form
    28,165/52,781.50 = 52,781.50/x
  3. Step 3: Cross multiply
    28,165x = 52,781.50 × 52,781.50
  4. Step 4: Simplify right side
    28,165x = 2,785,886,742.25
  5. Step 5: Solve for x
    x = 2,785,886,742.25/28,165
  6. Step 6: Final answer
    x = 98,913.07

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.