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Finding the Third Proportional to 4,867.50 and 6,852.38

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Solution

The third proportional to 4,867.50 and 6,852.38 is: 9,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.50 : 6,852.38 = 6,852.38 : x
  2. Step 2: Convert to fraction form
    4,867.50/6,852.38 = 6,852.38/x
  3. Step 3: Cross multiply
    4,867.50x = 6,852.38 × 6,852.38
  4. Step 4: Simplify right side
    4,867.50x = 46,955,043.14
  5. Step 5: Solve for x
    x = 46,955,043.14/4,867.50
  6. Step 6: Final answer
    x = 9,646.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.