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Finding the Third Proportional to 12,070 and 15,943

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Solution

The third proportional to 12,070 and 15,943 is: 21,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070 : 15,943 = 15,943 : x
  2. Step 2: Convert to fraction form
    12,070/15,943 = 15,943/x
  3. Step 3: Cross multiply
    12,070x = 15,943 × 15,943
  4. Step 4: Simplify right side
    12,070x = 254,179,249
  5. Step 5: Solve for x
    x = 254,179,249/12,070
  6. Step 6: Final answer
    x = 21,058.76

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.