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Finding the Third Proportional to 4,578.08 and 10,035.62

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Solution

The third proportional to 4,578.08 and 10,035.62 is: 21,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.08 : 10,035.62 = 10,035.62 : x
  2. Step 2: Convert to fraction form
    4,578.08/10,035.62 = 10,035.62/x
  3. Step 3: Cross multiply
    4,578.08x = 10,035.62 × 10,035.62
  4. Step 4: Simplify right side
    4,578.08x = 100,713,573.13
  5. Step 5: Solve for x
    x = 100,713,573.13/4,578.08
  6. Step 6: Final answer
    x = 21,999.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.