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Finding the Third Proportional to 25,615 and 59,277

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Solution

The third proportional to 25,615 and 59,277 is: 137,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615 : 59,277 = 59,277 : x
  2. Step 2: Convert to fraction form
    25,615/59,277 = 59,277/x
  3. Step 3: Cross multiply
    25,615x = 59,277 × 59,277
  4. Step 4: Simplify right side
    25,615x = 3,513,762,729
  5. Step 5: Solve for x
    x = 3,513,762,729/25,615
  6. Step 6: Final answer
    x = 137,175.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.