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Finding the Third Proportional to 36,534 and 56,340

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Solution

The third proportional to 36,534 and 56,340 is: 86,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,534 : 56,340 = 56,340 : x
  2. Step 2: Convert to fraction form
    36,534/56,340 = 56,340/x
  3. Step 3: Cross multiply
    36,534x = 56,340 × 56,340
  4. Step 4: Simplify right side
    36,534x = 3,174,195,600
  5. Step 5: Solve for x
    x = 3,174,195,600/36,534
  6. Step 6: Final answer
    x = 86,883.33

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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.