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Finding the Third Proportional to 44,537 and 83,530

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Solution

The third proportional to 44,537 and 83,530 is: 156,662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,537 : 83,530 = 83,530 : x
  2. Step 2: Convert to fraction form
    44,537/83,530 = 83,530/x
  3. Step 3: Cross multiply
    44,537x = 83,530 × 83,530
  4. Step 4: Simplify right side
    44,537x = 6,977,260,900
  5. Step 5: Solve for x
    x = 6,977,260,900/44,537
  6. Step 6: Final answer
    x = 156,662.12

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.