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Finding the Third Proportional to 15,837.19 and 23,869.69

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Solution

The third proportional to 15,837.19 and 23,869.69 is: 35,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837.19 : 23,869.69 = 23,869.69 : x
  2. Step 2: Convert to fraction form
    15,837.19/23,869.69 = 23,869.69/x
  3. Step 3: Cross multiply
    15,837.19x = 23,869.69 × 23,869.69
  4. Step 4: Simplify right side
    15,837.19x = 569,761,981.35
  5. Step 5: Solve for x
    x = 569,761,981.35/15,837.19
  6. Step 6: Final answer
    x = 35,976.21

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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.