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Finding the Third Proportional to 15,954.89 and 34,707.66

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Solution

The third proportional to 15,954.89 and 34,707.66 is: 75,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.89 : 34,707.66 = 34,707.66 : x
  2. Step 2: Convert to fraction form
    15,954.89/34,707.66 = 34,707.66/x
  3. Step 3: Cross multiply
    15,954.89x = 34,707.66 × 34,707.66
  4. Step 4: Simplify right side
    15,954.89x = 1,204,621,402.37
  5. Step 5: Solve for x
    x = 1,204,621,402.37/15,954.89
  6. Step 6: Final answer
    x = 75,501.70

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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.