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Finding the Third Proportional to 7,359.77 and 15,757.51

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Solution

The third proportional to 7,359.77 and 15,757.51 is: 33,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,359.77 : 15,757.51 = 15,757.51 : x
  2. Step 2: Convert to fraction form
    7,359.77/15,757.51 = 15,757.51/x
  3. Step 3: Cross multiply
    7,359.77x = 15,757.51 × 15,757.51
  4. Step 4: Simplify right side
    7,359.77x = 248,298,990.91
  5. Step 5: Solve for x
    x = 248,298,990.91/7,359.77
  6. Step 6: Final answer
    x = 33,737.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.