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Finding the Third Proportional to 29,853 and 44,095

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Solution

The third proportional to 29,853 and 44,095 is: 65,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853 : 44,095 = 44,095 : x
  2. Step 2: Convert to fraction form
    29,853/44,095 = 44,095/x
  3. Step 3: Cross multiply
    29,853x = 44,095 × 44,095
  4. Step 4: Simplify right side
    29,853x = 1,944,369,025
  5. Step 5: Solve for x
    x = 1,944,369,025/29,853
  6. Step 6: Final answer
    x = 65,131.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.