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Finding the Third Proportional to 15,894 and 23,824.13

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Solution

The third proportional to 15,894 and 23,824.13 is: 35,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894 : 23,824.13 = 23,824.13 : x
  2. Step 2: Convert to fraction form
    15,894/23,824.13 = 23,824.13/x
  3. Step 3: Cross multiply
    15,894x = 23,824.13 × 23,824.13
  4. Step 4: Simplify right side
    15,894x = 567,588,932.02
  5. Step 5: Solve for x
    x = 567,588,932.02/15,894
  6. Step 6: Final answer
    x = 35,710.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.