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Finding the Third Proportional to 10,193.66 and 15,594.71

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Solution

The third proportional to 10,193.66 and 15,594.71 is: 23,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.66 : 15,594.71 = 15,594.71 : x
  2. Step 2: Convert to fraction form
    10,193.66/15,594.71 = 15,594.71/x
  3. Step 3: Cross multiply
    10,193.66x = 15,594.71 × 15,594.71
  4. Step 4: Simplify right side
    10,193.66x = 243,195,131.06
  5. Step 5: Solve for x
    x = 243,195,131.06/10,193.66
  6. Step 6: Final answer
    x = 23,857.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.