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Finding the Third Proportional to 16,564.50 and 26,383

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Solution

The third proportional to 16,564.50 and 26,383 is: 42,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.50 : 26,383 = 26,383 : x
  2. Step 2: Convert to fraction form
    16,564.50/26,383 = 26,383/x
  3. Step 3: Cross multiply
    16,564.50x = 26,383 × 26,383
  4. Step 4: Simplify right side
    16,564.50x = 696,062,689
  5. Step 5: Solve for x
    x = 696,062,689/16,564.50
  6. Step 6: Final answer
    x = 42,021.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.