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Finding the Third Proportional to 30,845.81 and 69,670.76

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Solution

The third proportional to 30,845.81 and 69,670.76 is: 157,363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845.81 : 69,670.76 = 69,670.76 : x
  2. Step 2: Convert to fraction form
    30,845.81/69,670.76 = 69,670.76/x
  3. Step 3: Cross multiply
    30,845.81x = 69,670.76 × 69,670.76
  4. Step 4: Simplify right side
    30,845.81x = 4,854,014,494.17
  5. Step 5: Solve for x
    x = 4,854,014,494.17/30,845.81
  6. Step 6: Final answer
    x = 157,363.81

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.