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Finding the Third Proportional to 25,776 and 54,953

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Solution

The third proportional to 25,776 and 54,953 is: 117,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,776 : 54,953 = 54,953 : x
  2. Step 2: Convert to fraction form
    25,776/54,953 = 54,953/x
  3. Step 3: Cross multiply
    25,776x = 54,953 × 54,953
  4. Step 4: Simplify right side
    25,776x = 3,019,832,209
  5. Step 5: Solve for x
    x = 3,019,832,209/25,776
  6. Step 6: Final answer
    x = 117,156.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.