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Finding the Third Proportional to 16,510.50 and 35,937

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Solution

The third proportional to 16,510.50 and 35,937 is: 78,221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.50 : 35,937 = 35,937 : x
  2. Step 2: Convert to fraction form
    16,510.50/35,937 = 35,937/x
  3. Step 3: Cross multiply
    16,510.50x = 35,937 × 35,937
  4. Step 4: Simplify right side
    16,510.50x = 1,291,467,969
  5. Step 5: Solve for x
    x = 1,291,467,969/16,510.50
  6. Step 6: Final answer
    x = 78,221.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.