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Finding the Third Proportional to 30,616 and 43,333

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Solution

The third proportional to 30,616 and 43,333 is: 61,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616 : 43,333 = 43,333 : x
  2. Step 2: Convert to fraction form
    30,616/43,333 = 43,333/x
  3. Step 3: Cross multiply
    30,616x = 43,333 × 43,333
  4. Step 4: Simplify right side
    30,616x = 1,877,748,889
  5. Step 5: Solve for x
    x = 1,877,748,889/30,616
  6. Step 6: Final answer
    x = 61,332.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.