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Finding the Third Proportional to 15,320.39 and 33,465.66

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Solution

The third proportional to 15,320.39 and 33,465.66 is: 73,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,320.39 : 33,465.66 = 33,465.66 : x
  2. Step 2: Convert to fraction form
    15,320.39/33,465.66 = 33,465.66/x
  3. Step 3: Cross multiply
    15,320.39x = 33,465.66 × 33,465.66
  4. Step 4: Simplify right side
    15,320.39x = 1,119,950,148.24
  5. Step 5: Solve for x
    x = 1,119,950,148.24/15,320.39
  6. Step 6: Final answer
    x = 73,101.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.