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Finding the Third Proportional to 30,701 and 46,943

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Solution

The third proportional to 30,701 and 46,943 is: 71,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701 : 46,943 = 46,943 : x
  2. Step 2: Convert to fraction form
    30,701/46,943 = 46,943/x
  3. Step 3: Cross multiply
    30,701x = 46,943 × 46,943
  4. Step 4: Simplify right side
    30,701x = 2,203,645,249
  5. Step 5: Solve for x
    x = 2,203,645,249/30,701
  6. Step 6: Final answer
    x = 71,777.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.