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Finding the Third Proportional to 44,537 and 65,345

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Solution

The third proportional to 44,537 and 65,345 is: 95,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,537 : 65,345 = 65,345 : x
  2. Step 2: Convert to fraction form
    44,537/65,345 = 65,345/x
  3. Step 3: Cross multiply
    44,537x = 65,345 × 65,345
  4. Step 4: Simplify right side
    44,537x = 4,269,969,025
  5. Step 5: Solve for x
    x = 4,269,969,025/44,537
  6. Step 6: Final answer
    x = 95,874.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.