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Finding the Third Proportional to 4,937.06 and 5,433.19

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Solution

The third proportional to 4,937.06 and 5,433.19 is: 5,979.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.06 : 5,433.19 = 5,433.19 : x
  2. Step 2: Convert to fraction form
    4,937.06/5,433.19 = 5,433.19/x
  3. Step 3: Cross multiply
    4,937.06x = 5,433.19 × 5,433.19
  4. Step 4: Simplify right side
    4,937.06x = 29,519,526.41
  5. Step 5: Solve for x
    x = 29,519,526.41/4,937.06
  6. Step 6: Final answer
    x = 5,979.17

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.