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Finding the Third Proportional to 4,699.69 and 6,977.81

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Solution

The third proportional to 4,699.69 and 6,977.81 is: 10,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.69 : 6,977.81 = 6,977.81 : x
  2. Step 2: Convert to fraction form
    4,699.69/6,977.81 = 6,977.81/x
  3. Step 3: Cross multiply
    4,699.69x = 6,977.81 × 6,977.81
  4. Step 4: Simplify right side
    4,699.69x = 48,689,867.29
  5. Step 5: Solve for x
    x = 48,689,867.29/4,699.69
  6. Step 6: Final answer
    x = 10,360.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.