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Finding the Third Proportional to 16,709 and 36,637.50

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Solution

The third proportional to 16,709 and 36,637.50 is: 80,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709 : 36,637.50 = 36,637.50 : x
  2. Step 2: Convert to fraction form
    16,709/36,637.50 = 36,637.50/x
  3. Step 3: Cross multiply
    16,709x = 36,637.50 × 36,637.50
  4. Step 4: Simplify right side
    16,709x = 1,342,306,406.25
  5. Step 5: Solve for x
    x = 1,342,306,406.25/16,709
  6. Step 6: Final answer
    x = 80,334.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.