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Finding the Third Proportional to 15,946.50 and 34,917

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Solution

The third proportional to 15,946.50 and 34,917 is: 76,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.50 : 34,917 = 34,917 : x
  2. Step 2: Convert to fraction form
    15,946.50/34,917 = 34,917/x
  3. Step 3: Cross multiply
    15,946.50x = 34,917 × 34,917
  4. Step 4: Simplify right side
    15,946.50x = 1,219,196,889
  5. Step 5: Solve for x
    x = 1,219,196,889/15,946.50
  6. Step 6: Final answer
    x = 76,455.45

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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.