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Finding the Third Proportional to 16,053 and 21,306.38

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Solution

The third proportional to 16,053 and 21,306.38 is: 28,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,053 : 21,306.38 = 21,306.38 : x
  2. Step 2: Convert to fraction form
    16,053/21,306.38 = 21,306.38/x
  3. Step 3: Cross multiply
    16,053x = 21,306.38 × 21,306.38
  4. Step 4: Simplify right side
    16,053x = 453,961,615.64
  5. Step 5: Solve for x
    x = 453,961,615.64/16,053
  6. Step 6: Final answer
    x = 28,278.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.