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Finding the Third Proportional to 30,701 and 43,432

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Solution

The third proportional to 30,701 and 43,432 is: 61,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701 : 43,432 = 43,432 : x
  2. Step 2: Convert to fraction form
    30,701/43,432 = 43,432/x
  3. Step 3: Cross multiply
    30,701x = 43,432 × 43,432
  4. Step 4: Simplify right side
    30,701x = 1,886,338,624
  5. Step 5: Solve for x
    x = 1,886,338,624/30,701
  6. Step 6: Final answer
    x = 61,442.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.