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Finding the Third Proportional to 16,430 and 35,020

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Solution

The third proportional to 16,430 and 35,020 is: 74,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430 : 35,020 = 35,020 : x
  2. Step 2: Convert to fraction form
    16,430/35,020 = 35,020/x
  3. Step 3: Cross multiply
    16,430x = 35,020 × 35,020
  4. Step 4: Simplify right side
    16,430x = 1,226,400,400
  5. Step 5: Solve for x
    x = 1,226,400,400/16,430
  6. Step 6: Final answer
    x = 74,643.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.