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Finding the Third Proportional to 30,276.28 and 72,478.55

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Solution

The third proportional to 30,276.28 and 72,478.55 is: 173,506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276.28 : 72,478.55 = 72,478.55 : x
  2. Step 2: Convert to fraction form
    30,276.28/72,478.55 = 72,478.55/x
  3. Step 3: Cross multiply
    30,276.28x = 72,478.55 × 72,478.55
  4. Step 4: Simplify right side
    30,276.28x = 5,253,139,757.11
  5. Step 5: Solve for x
    x = 5,253,139,757.11/30,276.28
  6. Step 6: Final answer
    x = 173,506.77

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.