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Finding the Third Proportional to 15,930 and 25,056

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Solution

The third proportional to 15,930 and 25,056 is: 39,410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930 : 25,056 = 25,056 : x
  2. Step 2: Convert to fraction form
    15,930/25,056 = 25,056/x
  3. Step 3: Cross multiply
    15,930x = 25,056 × 25,056
  4. Step 4: Simplify right side
    15,930x = 627,803,136
  5. Step 5: Solve for x
    x = 627,803,136/15,930
  6. Step 6: Final answer
    x = 39,410.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.