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Finding the Third Proportional to 5,465.81 and 5,860.69

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Solution

The third proportional to 5,465.81 and 5,860.69 is: 6,284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.81 : 5,860.69 = 5,860.69 : x
  2. Step 2: Convert to fraction form
    5,465.81/5,860.69 = 5,860.69/x
  3. Step 3: Cross multiply
    5,465.81x = 5,860.69 × 5,860.69
  4. Step 4: Simplify right side
    5,465.81x = 34,347,657.97
  5. Step 5: Solve for x
    x = 34,347,657.97/5,465.81
  6. Step 6: Final answer
    x = 6,284.09

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.