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Finding the Third Proportional to 12,464 and 15,752

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Solution

The third proportional to 12,464 and 15,752 is: 19,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464 : 15,752 = 15,752 : x
  2. Step 2: Convert to fraction form
    12,464/15,752 = 15,752/x
  3. Step 3: Cross multiply
    12,464x = 15,752 × 15,752
  4. Step 4: Simplify right side
    12,464x = 248,125,504
  5. Step 5: Solve for x
    x = 248,125,504/12,464
  6. Step 6: Final answer
    x = 19,907.37

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.