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Finding the Third Proportional to 15,107.29 and 32,902.77

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Solution

The third proportional to 15,107.29 and 32,902.77 is: 71,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.29 : 32,902.77 = 32,902.77 : x
  2. Step 2: Convert to fraction form
    15,107.29/32,902.77 = 32,902.77/x
  3. Step 3: Cross multiply
    15,107.29x = 32,902.77 × 32,902.77
  4. Step 4: Simplify right side
    15,107.29x = 1,082,592,242.83
  5. Step 5: Solve for x
    x = 1,082,592,242.83/15,107.29
  6. Step 6: Final answer
    x = 71,660.25

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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.