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Finding the Third Proportional to 3,119.06 and 4,587.14

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Solution

The third proportional to 3,119.06 and 4,587.14 is: 6,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.06 : 4,587.14 = 4,587.14 : x
  2. Step 2: Convert to fraction form
    3,119.06/4,587.14 = 4,587.14/x
  3. Step 3: Cross multiply
    3,119.06x = 4,587.14 × 4,587.14
  4. Step 4: Simplify right side
    3,119.06x = 21,041,859.11
  5. Step 5: Solve for x
    x = 21,041,859.11/3,119.06
  6. Step 6: Final answer
    x = 6,746.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.