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Finding the Third Proportional to 5,380.59 and 11,585.53

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Solution

The third proportional to 5,380.59 and 11,585.53 is: 24,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.59 : 11,585.53 = 11,585.53 : x
  2. Step 2: Convert to fraction form
    5,380.59/11,585.53 = 11,585.53/x
  3. Step 3: Cross multiply
    5,380.59x = 11,585.53 × 11,585.53
  4. Step 4: Simplify right side
    5,380.59x = 134,224,534.34
  5. Step 5: Solve for x
    x = 134,224,534.34/5,380.59
  6. Step 6: Final answer
    x = 24,946.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.