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Finding the Third Proportional to 41,798 and 64,155

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Solution

The third proportional to 41,798 and 64,155 is: 98,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,798 : 64,155 = 64,155 : x
  2. Step 2: Convert to fraction form
    41,798/64,155 = 64,155/x
  3. Step 3: Cross multiply
    41,798x = 64,155 × 64,155
  4. Step 4: Simplify right side
    41,798x = 4,115,864,025
  5. Step 5: Solve for x
    x = 4,115,864,025/41,798
  6. Step 6: Final answer
    x = 98,470.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.