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Finding the Third Proportional to 5,834.53 and 9,116.30

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Solution

The third proportional to 5,834.53 and 9,116.30 is: 14,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.53 : 9,116.30 = 9,116.30 : x
  2. Step 2: Convert to fraction form
    5,834.53/9,116.30 = 9,116.30/x
  3. Step 3: Cross multiply
    5,834.53x = 9,116.30 × 9,116.30
  4. Step 4: Simplify right side
    5,834.53x = 83,106,868.71
  5. Step 5: Solve for x
    x = 83,106,868.71/5,834.53
  6. Step 6: Final answer
    x = 14,243.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.