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Finding the Third Proportional to 24,607 and 52,289

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Solution

The third proportional to 24,607 and 52,289 is: 111,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,607 : 52,289 = 52,289 : x
  2. Step 2: Convert to fraction form
    24,607/52,289 = 52,289/x
  3. Step 3: Cross multiply
    24,607x = 52,289 × 52,289
  4. Step 4: Simplify right side
    24,607x = 2,734,139,521
  5. Step 5: Solve for x
    x = 2,734,139,521/24,607
  6. Step 6: Final answer
    x = 111,112.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.