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Finding the Third Proportional to 41,364 and 59,076

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Solution

The third proportional to 41,364 and 59,076 is: 84,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,364 : 59,076 = 59,076 : x
  2. Step 2: Convert to fraction form
    41,364/59,076 = 59,076/x
  3. Step 3: Cross multiply
    41,364x = 59,076 × 59,076
  4. Step 4: Simplify right side
    41,364x = 3,489,973,776
  5. Step 5: Solve for x
    x = 3,489,973,776/41,364
  6. Step 6: Final answer
    x = 84,372.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.