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Finding the Third Proportional to 11,502 and 16,875.84

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Solution

The third proportional to 11,502 and 16,875.84 is: 24,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502 : 16,875.84 = 16,875.84 : x
  2. Step 2: Convert to fraction form
    11,502/16,875.84 = 16,875.84/x
  3. Step 3: Cross multiply
    11,502x = 16,875.84 × 16,875.84
  4. Step 4: Simplify right side
    11,502x = 284,794,102.27
  5. Step 5: Solve for x
    x = 284,794,102.27/11,502
  6. Step 6: Final answer
    x = 24,760.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.