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Finding the Third Proportional to 2,854.50 and 6,897.75

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Solution

The third proportional to 2,854.50 and 6,897.75 is: 16,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.50 : 6,897.75 = 6,897.75 : x
  2. Step 2: Convert to fraction form
    2,854.50/6,897.75 = 6,897.75/x
  3. Step 3: Cross multiply
    2,854.50x = 6,897.75 × 6,897.75
  4. Step 4: Simplify right side
    2,854.50x = 47,578,955.06
  5. Step 5: Solve for x
    x = 47,578,955.06/2,854.50
  6. Step 6: Final answer
    x = 16,668.05

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.