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Finding the Third Proportional to 1,952.30 and 3,122.51

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Solution

The third proportional to 1,952.30 and 3,122.51 is: 4,994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.30 : 3,122.51 = 3,122.51 : x
  2. Step 2: Convert to fraction form
    1,952.30/3,122.51 = 3,122.51/x
  3. Step 3: Cross multiply
    1,952.30x = 3,122.51 × 3,122.51
  4. Step 4: Simplify right side
    1,952.30x = 9,750,055.04
  5. Step 5: Solve for x
    x = 9,750,055.04/1,952.30
  6. Step 6: Final answer
    x = 4,994.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.