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Finding the Third Proportional to 1,970.72 and 4,124.11

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Solution

The third proportional to 1,970.72 and 4,124.11 is: 8,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.72 : 4,124.11 = 4,124.11 : x
  2. Step 2: Convert to fraction form
    1,970.72/4,124.11 = 4,124.11/x
  3. Step 3: Cross multiply
    1,970.72x = 4,124.11 × 4,124.11
  4. Step 4: Simplify right side
    1,970.72x = 17,008,278.14
  5. Step 5: Solve for x
    x = 17,008,278.14/1,970.72
  6. Step 6: Final answer
    x = 8,630.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.