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Finding the Third Proportional to 6,046.88 and 9,248.63

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Solution

The third proportional to 6,046.88 and 9,248.63 is: 14,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.88 : 9,248.63 = 9,248.63 : x
  2. Step 2: Convert to fraction form
    6,046.88/9,248.63 = 9,248.63/x
  3. Step 3: Cross multiply
    6,046.88x = 9,248.63 × 9,248.63
  4. Step 4: Simplify right side
    6,046.88x = 85,537,064.39
  5. Step 5: Solve for x
    x = 85,537,064.39/6,046.88
  6. Step 6: Final answer
    x = 14,145.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.