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Finding the Third Proportional to 25,056 and 37,656

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Solution

The third proportional to 25,056 and 37,656 is: 56,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,056 : 37,656 = 37,656 : x
  2. Step 2: Convert to fraction form
    25,056/37,656 = 37,656/x
  3. Step 3: Cross multiply
    25,056x = 37,656 × 37,656
  4. Step 4: Simplify right side
    25,056x = 1,417,974,336
  5. Step 5: Solve for x
    x = 1,417,974,336/25,056
  6. Step 6: Final answer
    x = 56,592.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.