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Finding the Third Proportional to 43,058 and 66,507

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Solution

The third proportional to 43,058 and 66,507 is: 102,726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,058 : 66,507 = 66,507 : x
  2. Step 2: Convert to fraction form
    43,058/66,507 = 66,507/x
  3. Step 3: Cross multiply
    43,058x = 66,507 × 66,507
  4. Step 4: Simplify right side
    43,058x = 4,423,181,049
  5. Step 5: Solve for x
    x = 4,423,181,049/43,058
  6. Step 6: Final answer
    x = 102,726.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.