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Finding the Third Proportional to 25,598 and 53,240

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Solution

The third proportional to 25,598 and 53,240 is: 110,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,598 : 53,240 = 53,240 : x
  2. Step 2: Convert to fraction form
    25,598/53,240 = 53,240/x
  3. Step 3: Cross multiply
    25,598x = 53,240 × 53,240
  4. Step 4: Simplify right side
    25,598x = 2,834,497,600
  5. Step 5: Solve for x
    x = 2,834,497,600/25,598
  6. Step 6: Final answer
    x = 110,731.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.