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Finding the Third Proportional to 36,532 and 53,646

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Solution

The third proportional to 36,532 and 53,646 is: 78,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,532 : 53,646 = 53,646 : x
  2. Step 2: Convert to fraction form
    36,532/53,646 = 53,646/x
  3. Step 3: Cross multiply
    36,532x = 53,646 × 53,646
  4. Step 4: Simplify right side
    36,532x = 2,877,893,316
  5. Step 5: Solve for x
    x = 2,877,893,316/36,532
  6. Step 6: Final answer
    x = 78,777.33

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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.