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Finding the Third Proportional to 4,995.84 and 7,459.45

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Solution

The third proportional to 4,995.84 and 7,459.45 is: 11,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995.84 : 7,459.45 = 7,459.45 : x
  2. Step 2: Convert to fraction form
    4,995.84/7,459.45 = 7,459.45/x
  3. Step 3: Cross multiply
    4,995.84x = 7,459.45 × 7,459.45
  4. Step 4: Simplify right side
    4,995.84x = 55,643,440.92
  5. Step 5: Solve for x
    x = 55,643,440.92/4,995.84
  6. Step 6: Final answer
    x = 11,137.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.