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Finding the Third Proportional to 41,798 and 61,590

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Solution

The third proportional to 41,798 and 61,590 is: 90,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,798 : 61,590 = 61,590 : x
  2. Step 2: Convert to fraction form
    41,798/61,590 = 61,590/x
  3. Step 3: Cross multiply
    41,798x = 61,590 × 61,590
  4. Step 4: Simplify right side
    41,798x = 3,793,328,100
  5. Step 5: Solve for x
    x = 3,793,328,100/41,798
  6. Step 6: Final answer
    x = 90,753.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.