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Finding the Third Proportional to 10,365 and 15,520.50

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Solution

The third proportional to 10,365 and 15,520.50 is: 23,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365 : 15,520.50 = 15,520.50 : x
  2. Step 2: Convert to fraction form
    10,365/15,520.50 = 15,520.50/x
  3. Step 3: Cross multiply
    10,365x = 15,520.50 × 15,520.50
  4. Step 4: Simplify right side
    10,365x = 240,885,920.25
  5. Step 5: Solve for x
    x = 240,885,920.25/10,365
  6. Step 6: Final answer
    x = 23,240.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.