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Finding the Third Proportional to 15,838.03 and 34,113.66

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Solution

The third proportional to 15,838.03 and 34,113.66 is: 73,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.03 : 34,113.66 = 34,113.66 : x
  2. Step 2: Convert to fraction form
    15,838.03/34,113.66 = 34,113.66/x
  3. Step 3: Cross multiply
    15,838.03x = 34,113.66 × 34,113.66
  4. Step 4: Simplify right side
    15,838.03x = 1,163,741,542.74
  5. Step 5: Solve for x
    x = 1,163,741,542.74/15,838.03
  6. Step 6: Final answer
    x = 73,477.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.