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Finding the Third Proportional to 31,070 and 42,889

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Solution

The third proportional to 31,070 and 42,889 is: 59,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070 : 42,889 = 42,889 : x
  2. Step 2: Convert to fraction form
    31,070/42,889 = 42,889/x
  3. Step 3: Cross multiply
    31,070x = 42,889 × 42,889
  4. Step 4: Simplify right side
    31,070x = 1,839,466,321
  5. Step 5: Solve for x
    x = 1,839,466,321/31,070
  6. Step 6: Final answer
    x = 59,203.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.