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Finding the Third Proportional to 25,315 and 55,057

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Solution

The third proportional to 25,315 and 55,057 is: 119,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,315 : 55,057 = 55,057 : x
  2. Step 2: Convert to fraction form
    25,315/55,057 = 55,057/x
  3. Step 3: Cross multiply
    25,315x = 55,057 × 55,057
  4. Step 4: Simplify right side
    25,315x = 3,031,273,249
  5. Step 5: Solve for x
    x = 3,031,273,249/25,315
  6. Step 6: Final answer
    x = 119,742.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.