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Finding the Third Proportional to 52,004 and 57,107

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Solution

The third proportional to 52,004 and 57,107 is: 62,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004 : 57,107 = 57,107 : x
  2. Step 2: Convert to fraction form
    52,004/57,107 = 57,107/x
  3. Step 3: Cross multiply
    52,004x = 57,107 × 57,107
  4. Step 4: Simplify right side
    52,004x = 3,261,209,449
  5. Step 5: Solve for x
    x = 3,261,209,449/52,004
  6. Step 6: Final answer
    x = 62,710.74

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.