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Finding the Third Proportional to 30,466.13 and 48,402.56

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Solution

The third proportional to 30,466.13 and 48,402.56 is: 76,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466.13 : 48,402.56 = 48,402.56 : x
  2. Step 2: Convert to fraction form
    30,466.13/48,402.56 = 48,402.56/x
  3. Step 3: Cross multiply
    30,466.13x = 48,402.56 × 48,402.56
  4. Step 4: Simplify right side
    30,466.13x = 2,342,808,056.57
  5. Step 5: Solve for x
    x = 2,342,808,056.57/30,466.13
  6. Step 6: Final answer
    x = 76,898.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.