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Finding the Third Proportional to 4,742.93 and 7,328.29

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Solution

The third proportional to 4,742.93 and 7,328.29 is: 11,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.93 : 7,328.29 = 7,328.29 : x
  2. Step 2: Convert to fraction form
    4,742.93/7,328.29 = 7,328.29/x
  3. Step 3: Cross multiply
    4,742.93x = 7,328.29 × 7,328.29
  4. Step 4: Simplify right side
    4,742.93x = 53,703,763.33
  5. Step 5: Solve for x
    x = 53,703,763.33/4,742.93
  6. Step 6: Final answer
    x = 11,322.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.