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Finding the Third Proportional to 15,957 and 33,931.41

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Solution

The third proportional to 15,957 and 33,931.41 is: 72,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957 : 33,931.41 = 33,931.41 : x
  2. Step 2: Convert to fraction form
    15,957/33,931.41 = 33,931.41/x
  3. Step 3: Cross multiply
    15,957x = 33,931.41 × 33,931.41
  4. Step 4: Simplify right side
    15,957x = 1,151,340,330.10
  5. Step 5: Solve for x
    x = 1,151,340,330.10/15,957
  6. Step 6: Final answer
    x = 72,152.68

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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.