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Finding the Third Proportional to 31,595.06 and 69,125.06

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Solution

The third proportional to 31,595.06 and 69,125.06 is: 151,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595.06 : 69,125.06 = 69,125.06 : x
  2. Step 2: Convert to fraction form
    31,595.06/69,125.06 = 69,125.06/x
  3. Step 3: Cross multiply
    31,595.06x = 69,125.06 × 69,125.06
  4. Step 4: Simplify right side
    31,595.06x = 4,778,274,265.63
  5. Step 5: Solve for x
    x = 4,778,274,265.63/31,595.06
  6. Step 6: Final answer
    x = 151,234.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.