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Finding the Third Proportional to 25,765 and 56,511

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Solution

The third proportional to 25,765 and 56,511 is: 123,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765 : 56,511 = 56,511 : x
  2. Step 2: Convert to fraction form
    25,765/56,511 = 56,511/x
  3. Step 3: Cross multiply
    25,765x = 56,511 × 56,511
  4. Step 4: Simplify right side
    25,765x = 3,193,493,121
  5. Step 5: Solve for x
    x = 3,193,493,121/25,765
  6. Step 6: Final answer
    x = 123,946.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.