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Finding the Third Proportional to 19,854 and 26,347

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Solution

The third proportional to 19,854 and 26,347 is: 34,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854 : 26,347 = 26,347 : x
  2. Step 2: Convert to fraction form
    19,854/26,347 = 26,347/x
  3. Step 3: Cross multiply
    19,854x = 26,347 × 26,347
  4. Step 4: Simplify right side
    19,854x = 694,164,409
  5. Step 5: Solve for x
    x = 694,164,409/19,854
  6. Step 6: Final answer
    x = 34,963.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.