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Finding the Third Proportional to 24,199 and 51,335

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Solution

The third proportional to 24,199 and 51,335 is: 108,900.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199 : 51,335 = 51,335 : x
  2. Step 2: Convert to fraction form
    24,199/51,335 = 51,335/x
  3. Step 3: Cross multiply
    24,199x = 51,335 × 51,335
  4. Step 4: Simplify right side
    24,199x = 2,635,282,225
  5. Step 5: Solve for x
    x = 2,635,282,225/24,199
  6. Step 6: Final answer
    x = 108,900.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.