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Finding the Third Proportional to 2,394.94 and 3,501.28

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Solution

The third proportional to 2,394.94 and 3,501.28 is: 5,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.94 : 3,501.28 = 3,501.28 : x
  2. Step 2: Convert to fraction form
    2,394.94/3,501.28 = 3,501.28/x
  3. Step 3: Cross multiply
    2,394.94x = 3,501.28 × 3,501.28
  4. Step 4: Simplify right side
    2,394.94x = 12,258,970.39
  5. Step 5: Solve for x
    x = 12,258,970.39/2,394.94
  6. Step 6: Final answer
    x = 5,118.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.