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Finding the Third Proportional to 15,053 and 26,809

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Solution

The third proportional to 15,053 and 26,809 is: 47,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,053 : 26,809 = 26,809 : x
  2. Step 2: Convert to fraction form
    15,053/26,809 = 26,809/x
  3. Step 3: Cross multiply
    15,053x = 26,809 × 26,809
  4. Step 4: Simplify right side
    15,053x = 718,722,481
  5. Step 5: Solve for x
    x = 718,722,481/15,053
  6. Step 6: Final answer
    x = 47,746.13

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.