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Finding the Third Proportional to 36,292 and 56,055

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Solution

The third proportional to 36,292 and 56,055 is: 86,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,292 : 56,055 = 56,055 : x
  2. Step 2: Convert to fraction form
    36,292/56,055 = 56,055/x
  3. Step 3: Cross multiply
    36,292x = 56,055 × 56,055
  4. Step 4: Simplify right side
    36,292x = 3,142,163,025
  5. Step 5: Solve for x
    x = 3,142,163,025/36,292
  6. Step 6: Final answer
    x = 86,580.05

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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.