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Finding the Third Proportional to 19,523 and 42,580

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Solution

The third proportional to 19,523 and 42,580 is: 92,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,523 : 42,580 = 42,580 : x
  2. Step 2: Convert to fraction form
    19,523/42,580 = 42,580/x
  3. Step 3: Cross multiply
    19,523x = 42,580 × 42,580
  4. Step 4: Simplify right side
    19,523x = 1,813,056,400
  5. Step 5: Solve for x
    x = 1,813,056,400/19,523
  6. Step 6: Final answer
    x = 92,867.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.