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Finding the Third Proportional to 25,885 and 55,459

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Solution

The third proportional to 25,885 and 55,459 is: 118,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885 : 55,459 = 55,459 : x
  2. Step 2: Convert to fraction form
    25,885/55,459 = 55,459/x
  3. Step 3: Cross multiply
    25,885x = 55,459 × 55,459
  4. Step 4: Simplify right side
    25,885x = 3,075,700,681
  5. Step 5: Solve for x
    x = 3,075,700,681/25,885
  6. Step 6: Final answer
    x = 118,821.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.