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Finding the Third Proportional to 19,701 and 43,047

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Solution

The third proportional to 19,701 and 43,047 is: 94,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701 : 43,047 = 43,047 : x
  2. Step 2: Convert to fraction form
    19,701/43,047 = 43,047/x
  3. Step 3: Cross multiply
    19,701x = 43,047 × 43,047
  4. Step 4: Simplify right side
    19,701x = 1,853,044,209
  5. Step 5: Solve for x
    x = 1,853,044,209/19,701
  6. Step 6: Final answer
    x = 94,058.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.