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Finding the Third Proportional to 19,701 and 43,735

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Solution

The third proportional to 19,701 and 43,735 is: 97,088.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701 : 43,735 = 43,735 : x
  2. Step 2: Convert to fraction form
    19,701/43,735 = 43,735/x
  3. Step 3: Cross multiply
    19,701x = 43,735 × 43,735
  4. Step 4: Simplify right side
    19,701x = 1,912,750,225
  5. Step 5: Solve for x
    x = 1,912,750,225/19,701
  6. Step 6: Final answer
    x = 97,088.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.