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Finding the Third Proportional to 4,752.84 and 5,254.03

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Solution

The third proportional to 4,752.84 and 5,254.03 is: 5,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.84 : 5,254.03 = 5,254.03 : x
  2. Step 2: Convert to fraction form
    4,752.84/5,254.03 = 5,254.03/x
  3. Step 3: Cross multiply
    4,752.84x = 5,254.03 × 5,254.03
  4. Step 4: Simplify right side
    4,752.84x = 27,604,844.38
  5. Step 5: Solve for x
    x = 27,604,844.38/4,752.84
  6. Step 6: Final answer
    x = 5,808.07

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.