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Finding the Third Proportional to 20,545 and 31,724

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Solution

The third proportional to 20,545 and 31,724 is: 48,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,545 : 31,724 = 31,724 : x
  2. Step 2: Convert to fraction form
    20,545/31,724 = 31,724/x
  3. Step 3: Cross multiply
    20,545x = 31,724 × 31,724
  4. Step 4: Simplify right side
    20,545x = 1,006,412,176
  5. Step 5: Solve for x
    x = 1,006,412,176/20,545
  6. Step 6: Final answer
    x = 48,985.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.