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Finding the Third Proportional to 11,498.47 and 16,869.03

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Solution

The third proportional to 11,498.47 and 16,869.03 is: 24,748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.47 : 16,869.03 = 16,869.03 : x
  2. Step 2: Convert to fraction form
    11,498.47/16,869.03 = 16,869.03/x
  3. Step 3: Cross multiply
    11,498.47x = 16,869.03 × 16,869.03
  4. Step 4: Simplify right side
    11,498.47x = 284,564,215.31
  5. Step 5: Solve for x
    x = 284,564,215.31/11,498.47
  6. Step 6: Final answer
    x = 24,748.01

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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.