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Finding the Third Proportional to 28,210 and 61,118

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Solution

The third proportional to 28,210 and 61,118 is: 132,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,210 : 61,118 = 61,118 : x
  2. Step 2: Convert to fraction form
    28,210/61,118 = 61,118/x
  3. Step 3: Cross multiply
    28,210x = 61,118 × 61,118
  4. Step 4: Simplify right side
    28,210x = 3,735,409,924
  5. Step 5: Solve for x
    x = 3,735,409,924/28,210
  6. Step 6: Final answer
    x = 132,414.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.