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Finding the Third Proportional to 31,559 and 68,038

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Solution

The third proportional to 31,559 and 68,038 is: 146,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,559 : 68,038 = 68,038 : x
  2. Step 2: Convert to fraction form
    31,559/68,038 = 68,038/x
  3. Step 3: Cross multiply
    31,559x = 68,038 × 68,038
  4. Step 4: Simplify right side
    31,559x = 4,629,169,444
  5. Step 5: Solve for x
    x = 4,629,169,444/31,559
  6. Step 6: Final answer
    x = 146,683.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.