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Finding the Third Proportional to 17,897.63 and 26,196.75

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Solution

The third proportional to 17,897.63 and 26,196.75 is: 38,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.63 : 26,196.75 = 26,196.75 : x
  2. Step 2: Convert to fraction form
    17,897.63/26,196.75 = 26,196.75/x
  3. Step 3: Cross multiply
    17,897.63x = 26,196.75 × 26,196.75
  4. Step 4: Simplify right side
    17,897.63x = 686,269,710.56
  5. Step 5: Solve for x
    x = 686,269,710.56/17,897.63
  6. Step 6: Final answer
    x = 38,344.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.