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Finding the Third Proportional to 25,598 and 52,465

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Solution

The third proportional to 25,598 and 52,465 is: 107,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,598 : 52,465 = 52,465 : x
  2. Step 2: Convert to fraction form
    25,598/52,465 = 52,465/x
  3. Step 3: Cross multiply
    25,598x = 52,465 × 52,465
  4. Step 4: Simplify right side
    25,598x = 2,752,576,225
  5. Step 5: Solve for x
    x = 2,752,576,225/25,598
  6. Step 6: Final answer
    x = 107,530.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.