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Finding the Third Proportional to 36,252 and 53,076

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Solution

The third proportional to 36,252 and 53,076 is: 77,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,252 : 53,076 = 53,076 : x
  2. Step 2: Convert to fraction form
    36,252/53,076 = 53,076/x
  3. Step 3: Cross multiply
    36,252x = 53,076 × 53,076
  4. Step 4: Simplify right side
    36,252x = 2,817,061,776
  5. Step 5: Solve for x
    x = 2,817,061,776/36,252
  6. Step 6: Final answer
    x = 77,707.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.