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Finding the Third Proportional to 15,592.50 and 22,465.69

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Solution

The third proportional to 15,592.50 and 22,465.69 is: 32,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,592.50 : 22,465.69 = 22,465.69 : x
  2. Step 2: Convert to fraction form
    15,592.50/22,465.69 = 22,465.69/x
  3. Step 3: Cross multiply
    15,592.50x = 22,465.69 × 22,465.69
  4. Step 4: Simplify right side
    15,592.50x = 504,707,114.85
  5. Step 5: Solve for x
    x = 504,707,114.85/15,592.50
  6. Step 6: Final answer
    x = 32,368.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.