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Finding the Third Proportional to 19,732 and 40,580

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Solution

The third proportional to 19,732 and 40,580 is: 83,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732 : 40,580 = 40,580 : x
  2. Step 2: Convert to fraction form
    19,732/40,580 = 40,580/x
  3. Step 3: Cross multiply
    19,732x = 40,580 × 40,580
  4. Step 4: Simplify right side
    19,732x = 1,646,736,400
  5. Step 5: Solve for x
    x = 1,646,736,400/19,732
  6. Step 6: Final answer
    x = 83,455.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.