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Finding the Third Proportional to 16,695 and 35,010

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Solution

The third proportional to 16,695 and 35,010 is: 73,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,695 : 35,010 = 35,010 : x
  2. Step 2: Convert to fraction form
    16,695/35,010 = 35,010/x
  3. Step 3: Cross multiply
    16,695x = 35,010 × 35,010
  4. Step 4: Simplify right side
    16,695x = 1,225,700,100
  5. Step 5: Solve for x
    x = 1,225,700,100/16,695
  6. Step 6: Final answer
    x = 73,417.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.