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Finding the Third Proportional to 1,970.25 and 3,041.25

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Solution

The third proportional to 1,970.25 and 3,041.25 is: 4,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.25 : 3,041.25 = 3,041.25 : x
  2. Step 2: Convert to fraction form
    1,970.25/3,041.25 = 3,041.25/x
  3. Step 3: Cross multiply
    1,970.25x = 3,041.25 × 3,041.25
  4. Step 4: Simplify right side
    1,970.25x = 9,249,201.56
  5. Step 5: Solve for x
    x = 9,249,201.56/1,970.25
  6. Step 6: Final answer
    x = 4,694.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.