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Finding the Third Proportional to 22,650 and 33,307.50

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Solution

The third proportional to 22,650 and 33,307.50 is: 48,979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,650 : 33,307.50 = 33,307.50 : x
  2. Step 2: Convert to fraction form
    22,650/33,307.50 = 33,307.50/x
  3. Step 3: Cross multiply
    22,650x = 33,307.50 × 33,307.50
  4. Step 4: Simplify right side
    22,650x = 1,109,389,556.25
  5. Step 5: Solve for x
    x = 1,109,389,556.25/22,650
  6. Step 6: Final answer
    x = 48,979.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.