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Finding the Third Proportional to 15,477 and 33,417

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Solution

The third proportional to 15,477 and 33,417 is: 72,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477 : 33,417 = 33,417 : x
  2. Step 2: Convert to fraction form
    15,477/33,417 = 33,417/x
  3. Step 3: Cross multiply
    15,477x = 33,417 × 33,417
  4. Step 4: Simplify right side
    15,477x = 1,116,695,889
  5. Step 5: Solve for x
    x = 1,116,695,889/15,477
  6. Step 6: Final answer
    x = 72,151.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.