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Finding the Third Proportional to 23,798 and 35,004

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Solution

The third proportional to 23,798 and 35,004 is: 51,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798 : 35,004 = 35,004 : x
  2. Step 2: Convert to fraction form
    23,798/35,004 = 35,004/x
  3. Step 3: Cross multiply
    23,798x = 35,004 × 35,004
  4. Step 4: Simplify right side
    23,798x = 1,225,280,016
  5. Step 5: Solve for x
    x = 1,225,280,016/23,798
  6. Step 6: Final answer
    x = 51,486.68

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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.