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Finding the Third Proportional to 4,896.88 and 7,460

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Solution

The third proportional to 4,896.88 and 7,460 is: 11,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.88 : 7,460 = 7,460 : x
  2. Step 2: Convert to fraction form
    4,896.88/7,460 = 7,460/x
  3. Step 3: Cross multiply
    4,896.88x = 7,460 × 7,460
  4. Step 4: Simplify right side
    4,896.88x = 55,651,600
  5. Step 5: Solve for x
    x = 55,651,600/4,896.88
  6. Step 6: Final answer
    x = 11,364.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.