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Finding the Third Proportional to 1,970.44 and 4,123.13

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Solution

The third proportional to 1,970.44 and 4,123.13 is: 8,627.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.44 : 4,123.13 = 4,123.13 : x
  2. Step 2: Convert to fraction form
    1,970.44/4,123.13 = 4,123.13/x
  3. Step 3: Cross multiply
    1,970.44x = 4,123.13 × 4,123.13
  4. Step 4: Simplify right side
    1,970.44x = 17,000,159.77
  5. Step 5: Solve for x
    x = 17,000,159.77/1,970.44
  6. Step 6: Final answer
    x = 8,627.61

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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.