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Finding the Third Proportional to 30,027.38 and 69,505.31

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Solution

The third proportional to 30,027.38 and 69,505.31 is: 160,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,027.38 : 69,505.31 = 69,505.31 : x
  2. Step 2: Convert to fraction form
    30,027.38/69,505.31 = 69,505.31/x
  3. Step 3: Cross multiply
    30,027.38x = 69,505.31 × 69,505.31
  4. Step 4: Simplify right side
    30,027.38x = 4,830,988,465.72
  5. Step 5: Solve for x
    x = 4,830,988,465.72/30,027.38
  6. Step 6: Final answer
    x = 160,886.14

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.