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Finding the Third Proportional to 22,895 and 35,002

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Solution

The third proportional to 22,895 and 35,002 is: 53,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,895 : 35,002 = 35,002 : x
  2. Step 2: Convert to fraction form
    22,895/35,002 = 35,002/x
  3. Step 3: Cross multiply
    22,895x = 35,002 × 35,002
  4. Step 4: Simplify right side
    22,895x = 1,225,140,004
  5. Step 5: Solve for x
    x = 1,225,140,004/22,895
  6. Step 6: Final answer
    x = 53,511.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.