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Finding the Third Proportional to 43,730 and 67,526

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Solution

The third proportional to 43,730 and 67,526 is: 104,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,730 : 67,526 = 67,526 : x
  2. Step 2: Convert to fraction form
    43,730/67,526 = 67,526/x
  3. Step 3: Cross multiply
    43,730x = 67,526 × 67,526
  4. Step 4: Simplify right side
    43,730x = 4,559,760,676
  5. Step 5: Solve for x
    x = 4,559,760,676/43,730
  6. Step 6: Final answer
    x = 104,270.77

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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.