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Finding the Third Proportional to 20,762 and 31,359

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Solution

The third proportional to 20,762 and 31,359 is: 47,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762 : 31,359 = 31,359 : x
  2. Step 2: Convert to fraction form
    20,762/31,359 = 31,359/x
  3. Step 3: Cross multiply
    20,762x = 31,359 × 31,359
  4. Step 4: Simplify right side
    20,762x = 983,386,881
  5. Step 5: Solve for x
    x = 983,386,881/20,762
  6. Step 6: Final answer
    x = 47,364.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.