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Finding the Third Proportional to 4,496.63 and 6,698.81

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Solution

The third proportional to 4,496.63 and 6,698.81 is: 9,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.63 : 6,698.81 = 6,698.81 : x
  2. Step 2: Convert to fraction form
    4,496.63/6,698.81 = 6,698.81/x
  3. Step 3: Cross multiply
    4,496.63x = 6,698.81 × 6,698.81
  4. Step 4: Simplify right side
    4,496.63x = 44,874,088.91
  5. Step 5: Solve for x
    x = 44,874,088.91/4,496.63
  6. Step 6: Final answer
    x = 9,979.50

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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.