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Finding the Third Proportional to 16,370.50 and 35,130

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Solution

The third proportional to 16,370.50 and 35,130 is: 75,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,370.50 : 35,130 = 35,130 : x
  2. Step 2: Convert to fraction form
    16,370.50/35,130 = 35,130/x
  3. Step 3: Cross multiply
    16,370.50x = 35,130 × 35,130
  4. Step 4: Simplify right side
    16,370.50x = 1,234,116,900
  5. Step 5: Solve for x
    x = 1,234,116,900/16,370.50
  6. Step 6: Final answer
    x = 75,386.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.