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Finding the Third Proportional to 2,901.76 and 4,439.50

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Solution

The third proportional to 2,901.76 and 4,439.50 is: 6,792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.76 : 4,439.50 = 4,439.50 : x
  2. Step 2: Convert to fraction form
    2,901.76/4,439.50 = 4,439.50/x
  3. Step 3: Cross multiply
    2,901.76x = 4,439.50 × 4,439.50
  4. Step 4: Simplify right side
    2,901.76x = 19,709,125.57
  5. Step 5: Solve for x
    x = 19,709,125.57/2,901.76
  6. Step 6: Final answer
    x = 6,792.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.