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Finding the Third Proportional to 30,931.24 and 67,774.22

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Solution

The third proportional to 30,931.24 and 67,774.22 is: 148,501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,931.24 : 67,774.22 = 67,774.22 : x
  2. Step 2: Convert to fraction form
    30,931.24/67,774.22 = 67,774.22/x
  3. Step 3: Cross multiply
    30,931.24x = 67,774.22 × 67,774.22
  4. Step 4: Simplify right side
    30,931.24x = 4,593,344,727.17
  5. Step 5: Solve for x
    x = 4,593,344,727.17/30,931.24
  6. Step 6: Final answer
    x = 148,501.79

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