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Finding the Third Proportional to 25,972.50 and 56,562

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Solution

The third proportional to 25,972.50 and 56,562 is: 123,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,972.50 : 56,562 = 56,562 : x
  2. Step 2: Convert to fraction form
    25,972.50/56,562 = 56,562/x
  3. Step 3: Cross multiply
    25,972.50x = 56,562 × 56,562
  4. Step 4: Simplify right side
    25,972.50x = 3,199,259,844
  5. Step 5: Solve for x
    x = 3,199,259,844/25,972.50
  6. Step 6: Final answer
    x = 123,178.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.