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Finding the Third Proportional to 39,798 and 85,813

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Solution

The third proportional to 39,798 and 85,813 is: 185,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,798 : 85,813 = 85,813 : x
  2. Step 2: Convert to fraction form
    39,798/85,813 = 85,813/x
  3. Step 3: Cross multiply
    39,798x = 85,813 × 85,813
  4. Step 4: Simplify right side
    39,798x = 7,363,870,969
  5. Step 5: Solve for x
    x = 7,363,870,969/39,798
  6. Step 6: Final answer
    x = 185,031.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.