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Finding the Third Proportional to 36,094 and 53,959

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Solution

The third proportional to 36,094 and 53,959 is: 80,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,094 : 53,959 = 53,959 : x
  2. Step 2: Convert to fraction form
    36,094/53,959 = 53,959/x
  3. Step 3: Cross multiply
    36,094x = 53,959 × 53,959
  4. Step 4: Simplify right side
    36,094x = 2,911,573,681
  5. Step 5: Solve for x
    x = 2,911,573,681/36,094
  6. Step 6: Final answer
    x = 80,666.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.