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Finding the Third Proportional to 1,584 and 3,838.50

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Solution

The third proportional to 1,584 and 3,838.50 is: 9,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584 : 3,838.50 = 3,838.50 : x
  2. Step 2: Convert to fraction form
    1,584/3,838.50 = 3,838.50/x
  3. Step 3: Cross multiply
    1,584x = 3,838.50 × 3,838.50
  4. Step 4: Simplify right side
    1,584x = 14,734,082.25
  5. Step 5: Solve for x
    x = 14,734,082.25/1,584
  6. Step 6: Final answer
    x = 9,301.82

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.