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Finding the Third Proportional to 25,880 and 56,840

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Solution

The third proportional to 25,880 and 56,840 is: 124,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,880 : 56,840 = 56,840 : x
  2. Step 2: Convert to fraction form
    25,880/56,840 = 56,840/x
  3. Step 3: Cross multiply
    25,880x = 56,840 × 56,840
  4. Step 4: Simplify right side
    25,880x = 3,230,785,600
  5. Step 5: Solve for x
    x = 3,230,785,600/25,880
  6. Step 6: Final answer
    x = 124,837.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.