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Finding the Third Proportional to 15,057 and 22,153.50

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Solution

The third proportional to 15,057 and 22,153.50 is: 32,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,057 : 22,153.50 = 22,153.50 : x
  2. Step 2: Convert to fraction form
    15,057/22,153.50 = 22,153.50/x
  3. Step 3: Cross multiply
    15,057x = 22,153.50 × 22,153.50
  4. Step 4: Simplify right side
    15,057x = 490,777,562.25
  5. Step 5: Solve for x
    x = 490,777,562.25/15,057
  6. Step 6: Final answer
    x = 32,594.64

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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.