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Finding the Third Proportional to 34,812 and 52,066

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Solution

The third proportional to 34,812 and 52,066 is: 77,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,812 : 52,066 = 52,066 : x
  2. Step 2: Convert to fraction form
    34,812/52,066 = 52,066/x
  3. Step 3: Cross multiply
    34,812x = 52,066 × 52,066
  4. Step 4: Simplify right side
    34,812x = 2,710,868,356
  5. Step 5: Solve for x
    x = 2,710,868,356/34,812
  6. Step 6: Final answer
    x = 77,871.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.