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Finding the Third Proportional to 28,038 and 41,655

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Solution

The third proportional to 28,038 and 41,655 is: 61,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,038 : 41,655 = 41,655 : x
  2. Step 2: Convert to fraction form
    28,038/41,655 = 41,655/x
  3. Step 3: Cross multiply
    28,038x = 41,655 × 41,655
  4. Step 4: Simplify right side
    28,038x = 1,735,139,025
  5. Step 5: Solve for x
    x = 1,735,139,025/28,038
  6. Step 6: Final answer
    x = 61,885.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.