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Finding the Third Proportional to 36,438 and 56,190

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Solution

The third proportional to 36,438 and 56,190 is: 86,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,438 : 56,190 = 56,190 : x
  2. Step 2: Convert to fraction form
    36,438/56,190 = 56,190/x
  3. Step 3: Cross multiply
    36,438x = 56,190 × 56,190
  4. Step 4: Simplify right side
    36,438x = 3,157,316,100
  5. Step 5: Solve for x
    x = 3,157,316,100/36,438
  6. Step 6: Final answer
    x = 86,649.00

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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.