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Finding the Third Proportional to 25,537 and 35,752

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Solution

The third proportional to 25,537 and 35,752 is: 50,053.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,537 : 35,752 = 35,752 : x
  2. Step 2: Convert to fraction form
    25,537/35,752 = 35,752/x
  3. Step 3: Cross multiply
    25,537x = 35,752 × 35,752
  4. Step 4: Simplify right side
    25,537x = 1,278,205,504
  5. Step 5: Solve for x
    x = 1,278,205,504/25,537
  6. Step 6: Final answer
    x = 50,053.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.