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Finding the Third Proportional to 19,818 and 27,297

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Solution

The third proportional to 19,818 and 27,297 is: 37,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,818 : 27,297 = 27,297 : x
  2. Step 2: Convert to fraction form
    19,818/27,297 = 27,297/x
  3. Step 3: Cross multiply
    19,818x = 27,297 × 27,297
  4. Step 4: Simplify right side
    19,818x = 745,126,209
  5. Step 5: Solve for x
    x = 745,126,209/19,818
  6. Step 6: Final answer
    x = 37,598.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.