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Finding the Third Proportional to 15,829.88 and 34,295.63

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Solution

The third proportional to 15,829.88 and 34,295.63 is: 74,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.88 : 34,295.63 = 34,295.63 : x
  2. Step 2: Convert to fraction form
    15,829.88/34,295.63 = 34,295.63/x
  3. Step 3: Cross multiply
    15,829.88x = 34,295.63 × 34,295.63
  4. Step 4: Simplify right side
    15,829.88x = 1,176,189,894.14
  5. Step 5: Solve for x
    x = 1,176,189,894.14/15,829.88
  6. Step 6: Final answer
    x = 74,301.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.