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Finding the Third Proportional to 22,852.50 and 34,522

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Solution

The third proportional to 22,852.50 and 34,522 is: 52,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.50 : 34,522 = 34,522 : x
  2. Step 2: Convert to fraction form
    22,852.50/34,522 = 34,522/x
  3. Step 3: Cross multiply
    22,852.50x = 34,522 × 34,522
  4. Step 4: Simplify right side
    22,852.50x = 1,191,768,484
  5. Step 5: Solve for x
    x = 1,191,768,484/22,852.50
  6. Step 6: Final answer
    x = 52,150.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.