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Finding the Third Proportional to 3,068.16 and 4,718.67

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Solution

The third proportional to 3,068.16 and 4,718.67 is: 7,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.16 : 4,718.67 = 4,718.67 : x
  2. Step 2: Convert to fraction form
    3,068.16/4,718.67 = 4,718.67/x
  3. Step 3: Cross multiply
    3,068.16x = 4,718.67 × 4,718.67
  4. Step 4: Simplify right side
    3,068.16x = 22,265,864.26
  5. Step 5: Solve for x
    x = 22,265,864.26/3,068.16
  6. Step 6: Final answer
    x = 7,257.08

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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.