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Finding the Third Proportional to 15,385.50 and 33,363

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Solution

The third proportional to 15,385.50 and 33,363 is: 72,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,385.50 : 33,363 = 33,363 : x
  2. Step 2: Convert to fraction form
    15,385.50/33,363 = 33,363/x
  3. Step 3: Cross multiply
    15,385.50x = 33,363 × 33,363
  4. Step 4: Simplify right side
    15,385.50x = 1,113,089,769
  5. Step 5: Solve for x
    x = 1,113,089,769/15,385.50
  6. Step 6: Final answer
    x = 72,346.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.