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Finding the Third Proportional to 15,802 and 23,053

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Solution

The third proportional to 15,802 and 23,053 is: 33,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802 : 23,053 = 23,053 : x
  2. Step 2: Convert to fraction form
    15,802/23,053 = 23,053/x
  3. Step 3: Cross multiply
    15,802x = 23,053 × 23,053
  4. Step 4: Simplify right side
    15,802x = 531,440,809
  5. Step 5: Solve for x
    x = 531,440,809/15,802
  6. Step 6: Final answer
    x = 33,631.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.