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Finding the Third Proportional to 28,226 and 42,202

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Solution

The third proportional to 28,226 and 42,202 is: 63,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,226 : 42,202 = 42,202 : x
  2. Step 2: Convert to fraction form
    28,226/42,202 = 42,202/x
  3. Step 3: Cross multiply
    28,226x = 42,202 × 42,202
  4. Step 4: Simplify right side
    28,226x = 1,781,008,804
  5. Step 5: Solve for x
    x = 1,781,008,804/28,226
  6. Step 6: Final answer
    x = 63,098.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.