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Finding the Third Proportional to 2,070.56 and 4,501.83

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Solution

The third proportional to 2,070.56 and 4,501.83 is: 9,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.56 : 4,501.83 = 4,501.83 : x
  2. Step 2: Convert to fraction form
    2,070.56/4,501.83 = 4,501.83/x
  3. Step 3: Cross multiply
    2,070.56x = 4,501.83 × 4,501.83
  4. Step 4: Simplify right side
    2,070.56x = 20,266,456.47
  5. Step 5: Solve for x
    x = 20,266,456.47/2,070.56
  6. Step 6: Final answer
    x = 9,787.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.