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Finding the Third Proportional to 20,274 and 42,585

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Solution

The third proportional to 20,274 and 42,585 is: 89,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274 : 42,585 = 42,585 : x
  2. Step 2: Convert to fraction form
    20,274/42,585 = 42,585/x
  3. Step 3: Cross multiply
    20,274x = 42,585 × 42,585
  4. Step 4: Simplify right side
    20,274x = 1,813,482,225
  5. Step 5: Solve for x
    x = 1,813,482,225/20,274
  6. Step 6: Final answer
    x = 89,448.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.