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Finding the Third Proportional to 15,734.63 and 34,208.25

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Solution

The third proportional to 15,734.63 and 34,208.25 is: 74,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.63 : 34,208.25 = 34,208.25 : x
  2. Step 2: Convert to fraction form
    15,734.63/34,208.25 = 34,208.25/x
  3. Step 3: Cross multiply
    15,734.63x = 34,208.25 × 34,208.25
  4. Step 4: Simplify right side
    15,734.63x = 1,170,204,368.06
  5. Step 5: Solve for x
    x = 1,170,204,368.06/15,734.63
  6. Step 6: Final answer
    x = 74,371.29

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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.