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Finding the Third Proportional to 15,319.13 and 17,470.69

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Solution

The third proportional to 15,319.13 and 17,470.69 is: 19,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319.13 : 17,470.69 = 17,470.69 : x
  2. Step 2: Convert to fraction form
    15,319.13/17,470.69 = 17,470.69/x
  3. Step 3: Cross multiply
    15,319.13x = 17,470.69 × 17,470.69
  4. Step 4: Simplify right side
    15,319.13x = 305,224,921.72
  5. Step 5: Solve for x
    x = 305,224,921.72/15,319.13
  6. Step 6: Final answer
    x = 19,924.44

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.