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Finding the Third Proportional to 5,929.89 and 9,178.35

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Solution

The third proportional to 5,929.89 and 9,178.35 is: 14,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.89 : 9,178.35 = 9,178.35 : x
  2. Step 2: Convert to fraction form
    5,929.89/9,178.35 = 9,178.35/x
  3. Step 3: Cross multiply
    5,929.89x = 9,178.35 × 9,178.35
  4. Step 4: Simplify right side
    5,929.89x = 84,242,146.37
  5. Step 5: Solve for x
    x = 84,242,146.37/5,929.89
  6. Step 6: Final answer
    x = 14,206.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.