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Finding the Third Proportional to 15,824.25 and 24,534.38

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Solution

The third proportional to 15,824.25 and 24,534.38 is: 38,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824.25 : 24,534.38 = 24,534.38 : x
  2. Step 2: Convert to fraction form
    15,824.25/24,534.38 = 24,534.38/x
  3. Step 3: Cross multiply
    15,824.25x = 24,534.38 × 24,534.38
  4. Step 4: Simplify right side
    15,824.25x = 601,935,556.64
  5. Step 5: Solve for x
    x = 601,935,556.64/15,824.25
  6. Step 6: Final answer
    x = 38,038.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.