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Finding the Third Proportional to 3,136.34 and 4,853.47

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Solution

The third proportional to 3,136.34 and 4,853.47 is: 7,510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.34 : 4,853.47 = 4,853.47 : x
  2. Step 2: Convert to fraction form
    3,136.34/4,853.47 = 4,853.47/x
  3. Step 3: Cross multiply
    3,136.34x = 4,853.47 × 4,853.47
  4. Step 4: Simplify right side
    3,136.34x = 23,556,211.04
  5. Step 5: Solve for x
    x = 23,556,211.04/3,136.34
  6. Step 6: Final answer
    x = 7,510.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.