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Finding the Third Proportional to 3,670.88 and 7,816.13

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Solution

The third proportional to 3,670.88 and 7,816.13 is: 16,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.88 : 7,816.13 = 7,816.13 : x
  2. Step 2: Convert to fraction form
    3,670.88/7,816.13 = 7,816.13/x
  3. Step 3: Cross multiply
    3,670.88x = 7,816.13 × 7,816.13
  4. Step 4: Simplify right side
    3,670.88x = 61,091,810.02
  5. Step 5: Solve for x
    x = 61,091,810.02/3,670.88
  6. Step 6: Final answer
    x = 16,642.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.