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Finding the Third Proportional to 16,134.75 and 34,603.50

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Solution

The third proportional to 16,134.75 and 34,603.50 is: 74,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.75 : 34,603.50 = 34,603.50 : x
  2. Step 2: Convert to fraction form
    16,134.75/34,603.50 = 34,603.50/x
  3. Step 3: Cross multiply
    16,134.75x = 34,603.50 × 34,603.50
  4. Step 4: Simplify right side
    16,134.75x = 1,197,402,212.25
  5. Step 5: Solve for x
    x = 1,197,402,212.25/16,134.75
  6. Step 6: Final answer
    x = 74,212.63

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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.