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Finding the Third Proportional to 36,534 and 56,345

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Solution

The third proportional to 36,534 and 56,345 is: 86,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,534 : 56,345 = 56,345 : x
  2. Step 2: Convert to fraction form
    36,534/56,345 = 56,345/x
  3. Step 3: Cross multiply
    36,534x = 56,345 × 56,345
  4. Step 4: Simplify right side
    36,534x = 3,174,759,025
  5. Step 5: Solve for x
    x = 3,174,759,025/36,534
  6. Step 6: Final answer
    x = 86,898.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.