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Finding the Third Proportional to 909 and 2,164.50

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Solution

The third proportional to 909 and 2,164.50 is: 5,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    909 : 2,164.50 = 2,164.50 : x
  2. Step 2: Convert to fraction form
    909/2,164.50 = 2,164.50/x
  3. Step 3: Cross multiply
    909x = 2,164.50 × 2,164.50
  4. Step 4: Simplify right side
    909x = 4,685,060.25
  5. Step 5: Solve for x
    x = 4,685,060.25/909
  6. Step 6: Final answer
    x = 5,154.08

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.