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Finding the Third Proportional to 25,964 and 56,302

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Solution

The third proportional to 25,964 and 56,302 is: 122,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,964 : 56,302 = 56,302 : x
  2. Step 2: Convert to fraction form
    25,964/56,302 = 56,302/x
  3. Step 3: Cross multiply
    25,964x = 56,302 × 56,302
  4. Step 4: Simplify right side
    25,964x = 3,169,915,204
  5. Step 5: Solve for x
    x = 3,169,915,204/25,964
  6. Step 6: Final answer
    x = 122,088.86

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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.