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Finding the Third Proportional to 5,834.53 and 8,968.08

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Solution

The third proportional to 5,834.53 and 8,968.08 is: 13,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.53 : 8,968.08 = 8,968.08 : x
  2. Step 2: Convert to fraction form
    5,834.53/8,968.08 = 8,968.08/x
  3. Step 3: Cross multiply
    5,834.53x = 8,968.08 × 8,968.08
  4. Step 4: Simplify right side
    5,834.53x = 80,426,425.26
  5. Step 5: Solve for x
    x = 80,426,425.26/5,834.53
  6. Step 6: Final answer
    x = 13,784.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.