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Finding the Third Proportional to 16,068.75 and 34,385.25

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Solution

The third proportional to 16,068.75 and 34,385.25 is: 73,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,068.75 : 34,385.25 = 34,385.25 : x
  2. Step 2: Convert to fraction form
    16,068.75/34,385.25 = 34,385.25/x
  3. Step 3: Cross multiply
    16,068.75x = 34,385.25 × 34,385.25
  4. Step 4: Simplify right side
    16,068.75x = 1,182,345,417.56
  5. Step 5: Solve for x
    x = 1,182,345,417.56/16,068.75
  6. Step 6: Final answer
    x = 73,580.42

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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.