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Finding the Third Proportional to 4,284.75 and 6,897.75

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Solution

The third proportional to 4,284.75 and 6,897.75 is: 11,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.75 : 6,897.75 = 6,897.75 : x
  2. Step 2: Convert to fraction form
    4,284.75/6,897.75 = 6,897.75/x
  3. Step 3: Cross multiply
    4,284.75x = 6,897.75 × 6,897.75
  4. Step 4: Simplify right side
    4,284.75x = 47,578,955.06
  5. Step 5: Solve for x
    x = 47,578,955.06/4,284.75
  6. Step 6: Final answer
    x = 11,104.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.