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Finding the Third Proportional to 2,887.52 and 5,364.98

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Solution

The third proportional to 2,887.52 and 5,364.98 is: 9,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.52 : 5,364.98 = 5,364.98 : x
  2. Step 2: Convert to fraction form
    2,887.52/5,364.98 = 5,364.98/x
  3. Step 3: Cross multiply
    2,887.52x = 5,364.98 × 5,364.98
  4. Step 4: Simplify right side
    2,887.52x = 28,783,057.34
  5. Step 5: Solve for x
    x = 28,783,057.34/2,887.52
  6. Step 6: Final answer
    x = 9,968.08

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.