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Finding the Third Proportional to 31,038 and 44,349

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Solution

The third proportional to 31,038 and 44,349 is: 63,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,038 : 44,349 = 44,349 : x
  2. Step 2: Convert to fraction form
    31,038/44,349 = 44,349/x
  3. Step 3: Cross multiply
    31,038x = 44,349 × 44,349
  4. Step 4: Simplify right side
    31,038x = 1,966,833,801
  5. Step 5: Solve for x
    x = 1,966,833,801/31,038
  6. Step 6: Final answer
    x = 63,368.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.