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Finding the Third Proportional to 5,846 and 9,297

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Solution

The third proportional to 5,846 and 9,297 is: 14,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846 : 9,297 = 9,297 : x
  2. Step 2: Convert to fraction form
    5,846/9,297 = 9,297/x
  3. Step 3: Cross multiply
    5,846x = 9,297 × 9,297
  4. Step 4: Simplify right side
    5,846x = 86,434,209
  5. Step 5: Solve for x
    x = 86,434,209/5,846
  6. Step 6: Final answer
    x = 14,785.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.