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Finding the Third Proportional to 36,364 and 53,347

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Solution

The third proportional to 36,364 and 53,347 is: 78,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,364 : 53,347 = 53,347 : x
  2. Step 2: Convert to fraction form
    36,364/53,347 = 53,347/x
  3. Step 3: Cross multiply
    36,364x = 53,347 × 53,347
  4. Step 4: Simplify right side
    36,364x = 2,845,902,409
  5. Step 5: Solve for x
    x = 2,845,902,409/36,364
  6. Step 6: Final answer
    x = 78,261.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.