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Finding the Third Proportional to 30,898.13 and 67,462.88

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Solution

The third proportional to 30,898.13 and 67,462.88 is: 147,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.13 : 67,462.88 = 67,462.88 : x
  2. Step 2: Convert to fraction form
    30,898.13/67,462.88 = 67,462.88/x
  3. Step 3: Cross multiply
    30,898.13x = 67,462.88 × 67,462.88
  4. Step 4: Simplify right side
    30,898.13x = 4,551,239,503.27
  5. Step 5: Solve for x
    x = 4,551,239,503.27/30,898.13
  6. Step 6: Final answer
    x = 147,298.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.