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Finding the Third Proportional to 4,618.69 and 9,032.06

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Solution

The third proportional to 4,618.69 and 9,032.06 is: 17,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.69 : 9,032.06 = 9,032.06 : x
  2. Step 2: Convert to fraction form
    4,618.69/9,032.06 = 9,032.06/x
  3. Step 3: Cross multiply
    4,618.69x = 9,032.06 × 9,032.06
  4. Step 4: Simplify right side
    4,618.69x = 81,578,153.00
  5. Step 5: Solve for x
    x = 81,578,153.00/4,618.69
  6. Step 6: Final answer
    x = 17,662.63

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.