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Finding the Third Proportional to 912.52 and 2,153.14

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Solution

The third proportional to 912.52 and 2,153.14 is: 5,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.52 : 2,153.14 = 2,153.14 : x
  2. Step 2: Convert to fraction form
    912.52/2,153.14 = 2,153.14/x
  3. Step 3: Cross multiply
    912.52x = 2,153.14 × 2,153.14
  4. Step 4: Simplify right side
    912.52x = 4,636,031.37
  5. Step 5: Solve for x
    x = 4,636,031.37/912.52
  6. Step 6: Final answer
    x = 5,080.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.