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Finding the Third Proportional to 16,712 and 35,590

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Solution

The third proportional to 16,712 and 35,590 is: 75,792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,712 : 35,590 = 35,590 : x
  2. Step 2: Convert to fraction form
    16,712/35,590 = 35,590/x
  3. Step 3: Cross multiply
    16,712x = 35,590 × 35,590
  4. Step 4: Simplify right side
    16,712x = 1,266,648,100
  5. Step 5: Solve for x
    x = 1,266,648,100/16,712
  6. Step 6: Final answer
    x = 75,792.73

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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.