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Finding the Third Proportional to 31,302.38 and 69,602.63

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Solution

The third proportional to 31,302.38 and 69,602.63 is: 154,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302.38 : 69,602.63 = 69,602.63 : x
  2. Step 2: Convert to fraction form
    31,302.38/69,602.63 = 69,602.63/x
  3. Step 3: Cross multiply
    31,302.38x = 69,602.63 × 69,602.63
  4. Step 4: Simplify right side
    31,302.38x = 4,844,525,406.89
  5. Step 5: Solve for x
    x = 4,844,525,406.89/31,302.38
  6. Step 6: Final answer
    x = 154,765.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.