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Finding the Third Proportional to 16,364.53 and 25,022.59

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Solution

The third proportional to 16,364.53 and 25,022.59 is: 38,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.53 : 25,022.59 = 25,022.59 : x
  2. Step 2: Convert to fraction form
    16,364.53/25,022.59 = 25,022.59/x
  3. Step 3: Cross multiply
    16,364.53x = 25,022.59 × 25,022.59
  4. Step 4: Simplify right side
    16,364.53x = 626,130,149.11
  5. Step 5: Solve for x
    x = 626,130,149.11/16,364.53
  6. Step 6: Final answer
    x = 38,261.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.