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Finding the Third Proportional to 4,510.69 and 8,623.97

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Solution

The third proportional to 4,510.69 and 8,623.97 is: 16,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.69 : 8,623.97 = 8,623.97 : x
  2. Step 2: Convert to fraction form
    4,510.69/8,623.97 = 8,623.97/x
  3. Step 3: Cross multiply
    4,510.69x = 8,623.97 × 8,623.97
  4. Step 4: Simplify right side
    4,510.69x = 74,372,837.00
  5. Step 5: Solve for x
    x = 74,372,837.00/4,510.69
  6. Step 6: Final answer
    x = 16,488.14

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.