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Finding the Third Proportional to 15,959.81 and 22,364.44

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Solution

The third proportional to 15,959.81 and 22,364.44 is: 31,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,959.81 : 22,364.44 = 22,364.44 : x
  2. Step 2: Convert to fraction form
    15,959.81/22,364.44 = 22,364.44/x
  3. Step 3: Cross multiply
    15,959.81x = 22,364.44 × 22,364.44
  4. Step 4: Simplify right side
    15,959.81x = 500,168,064.69
  5. Step 5: Solve for x
    x = 500,168,064.69/15,959.81
  6. Step 6: Final answer
    x = 31,339.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.