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Finding the Third Proportional to 25,095 and 34,412

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Solution

The third proportional to 25,095 and 34,412 is: 47,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,095 : 34,412 = 34,412 : x
  2. Step 2: Convert to fraction form
    25,095/34,412 = 34,412/x
  3. Step 3: Cross multiply
    25,095x = 34,412 × 34,412
  4. Step 4: Simplify right side
    25,095x = 1,184,185,744
  5. Step 5: Solve for x
    x = 1,184,185,744/25,095
  6. Step 6: Final answer
    x = 47,188.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.