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Finding the Third Proportional to 1,444.16 and 3,113.51

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Solution

The third proportional to 1,444.16 and 3,113.51 is: 6,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.16 : 3,113.51 = 3,113.51 : x
  2. Step 2: Convert to fraction form
    1,444.16/3,113.51 = 3,113.51/x
  3. Step 3: Cross multiply
    1,444.16x = 3,113.51 × 3,113.51
  4. Step 4: Simplify right side
    1,444.16x = 9,693,954.84
  5. Step 5: Solve for x
    x = 9,693,954.84/1,444.16
  6. Step 6: Final answer
    x = 6,712.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.