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Finding the Third Proportional to 29,375 and 65,289

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Solution

The third proportional to 29,375 and 65,289 is: 145,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,375 : 65,289 = 65,289 : x
  2. Step 2: Convert to fraction form
    29,375/65,289 = 65,289/x
  3. Step 3: Cross multiply
    29,375x = 65,289 × 65,289
  4. Step 4: Simplify right side
    29,375x = 4,262,653,521
  5. Step 5: Solve for x
    x = 4,262,653,521/29,375
  6. Step 6: Final answer
    x = 145,111.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.