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Finding the Third Proportional to 19,707 and 23,352

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Solution

The third proportional to 19,707 and 23,352 is: 27,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707 : 23,352 = 23,352 : x
  2. Step 2: Convert to fraction form
    19,707/23,352 = 23,352/x
  3. Step 3: Cross multiply
    19,707x = 23,352 × 23,352
  4. Step 4: Simplify right side
    19,707x = 545,315,904
  5. Step 5: Solve for x
    x = 545,315,904/19,707
  6. Step 6: Final answer
    x = 27,671.18

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.