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Finding the Third Proportional to 4,937.84 and 7,402.48

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Solution

The third proportional to 4,937.84 and 7,402.48 is: 11,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.84 : 7,402.48 = 7,402.48 : x
  2. Step 2: Convert to fraction form
    4,937.84/7,402.48 = 7,402.48/x
  3. Step 3: Cross multiply
    4,937.84x = 7,402.48 × 7,402.48
  4. Step 4: Simplify right side
    4,937.84x = 54,796,746.01
  5. Step 5: Solve for x
    x = 54,796,746.01/4,937.84
  6. Step 6: Final answer
    x = 11,097.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.