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Finding the Third Proportional to 944.25 and 2,070.25

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Solution

The third proportional to 944.25 and 2,070.25 is: 4,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.25 : 2,070.25 = 2,070.25 : x
  2. Step 2: Convert to fraction form
    944.25/2,070.25 = 2,070.25/x
  3. Step 3: Cross multiply
    944.25x = 2,070.25 × 2,070.25
  4. Step 4: Simplify right side
    944.25x = 4,285,935.06
  5. Step 5: Solve for x
    x = 4,285,935.06/944.25
  6. Step 6: Final answer
    x = 4,538.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.