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Finding the Third Proportional to 43,038 and 91,044

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Solution

The third proportional to 43,038 and 91,044 is: 192,597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,038 : 91,044 = 91,044 : x
  2. Step 2: Convert to fraction form
    43,038/91,044 = 91,044/x
  3. Step 3: Cross multiply
    43,038x = 91,044 × 91,044
  4. Step 4: Simplify right side
    43,038x = 8,289,009,936
  5. Step 5: Solve for x
    x = 8,289,009,936/43,038
  6. Step 6: Final answer
    x = 192,597.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.