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Finding the Third Proportional to 36,347 and 77,953

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Solution

The third proportional to 36,347 and 77,953 is: 167,184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,347 : 77,953 = 77,953 : x
  2. Step 2: Convert to fraction form
    36,347/77,953 = 77,953/x
  3. Step 3: Cross multiply
    36,347x = 77,953 × 77,953
  4. Step 4: Simplify right side
    36,347x = 6,076,670,209
  5. Step 5: Solve for x
    x = 6,076,670,209/36,347
  6. Step 6: Final answer
    x = 167,184.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.