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Finding the Third Proportional to 15,097.50 and 22,202.25

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Solution

The third proportional to 15,097.50 and 22,202.25 is: 32,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.50 : 22,202.25 = 22,202.25 : x
  2. Step 2: Convert to fraction form
    15,097.50/22,202.25 = 22,202.25/x
  3. Step 3: Cross multiply
    15,097.50x = 22,202.25 × 22,202.25
  4. Step 4: Simplify right side
    15,097.50x = 492,939,905.06
  5. Step 5: Solve for x
    x = 492,939,905.06/15,097.50
  6. Step 6: Final answer
    x = 32,650.43

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1.5x scale

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.