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Finding the Third Proportional to 4,590.84 and 8,116.03

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Solution

The third proportional to 4,590.84 and 8,116.03 is: 14,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.84 : 8,116.03 = 8,116.03 : x
  2. Step 2: Convert to fraction form
    4,590.84/8,116.03 = 8,116.03/x
  3. Step 3: Cross multiply
    4,590.84x = 8,116.03 × 8,116.03
  4. Step 4: Simplify right side
    4,590.84x = 65,869,963.25
  5. Step 5: Solve for x
    x = 65,869,963.25/4,590.84
  6. Step 6: Final answer
    x = 14,348.12

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.