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Finding the Third Proportional to 4,577.13 and 5,625.07

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Solution

The third proportional to 4,577.13 and 5,625.07 is: 6,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.13 : 5,625.07 = 5,625.07 : x
  2. Step 2: Convert to fraction form
    4,577.13/5,625.07 = 5,625.07/x
  3. Step 3: Cross multiply
    4,577.13x = 5,625.07 × 5,625.07
  4. Step 4: Simplify right side
    4,577.13x = 31,641,416.02
  5. Step 5: Solve for x
    x = 31,641,416.02/4,577.13
  6. Step 6: Final answer
    x = 6,912.93

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.