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Finding the Third Proportional to 21,948 and 42,789

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Solution

The third proportional to 21,948 and 42,789 is: 83,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,948 : 42,789 = 42,789 : x
  2. Step 2: Convert to fraction form
    21,948/42,789 = 42,789/x
  3. Step 3: Cross multiply
    21,948x = 42,789 × 42,789
  4. Step 4: Simplify right side
    21,948x = 1,830,898,521
  5. Step 5: Solve for x
    x = 1,830,898,521/21,948
  6. Step 6: Final answer
    x = 83,419.83

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.