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Finding the Third Proportional to 40,803 and 61,015

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Solution

The third proportional to 40,803 and 61,015 is: 91,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,803 : 61,015 = 61,015 : x
  2. Step 2: Convert to fraction form
    40,803/61,015 = 61,015/x
  3. Step 3: Cross multiply
    40,803x = 61,015 × 61,015
  4. Step 4: Simplify right side
    40,803x = 3,722,830,225
  5. Step 5: Solve for x
    x = 3,722,830,225/40,803
  6. Step 6: Final answer
    x = 91,239.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.