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Finding the Third Proportional to 34,818 and 62,724

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Solution

The third proportional to 34,818 and 62,724 is: 112,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,818 : 62,724 = 62,724 : x
  2. Step 2: Convert to fraction form
    34,818/62,724 = 62,724/x
  3. Step 3: Cross multiply
    34,818x = 62,724 × 62,724
  4. Step 4: Simplify right side
    34,818x = 3,934,300,176
  5. Step 5: Solve for x
    x = 3,934,300,176/34,818
  6. Step 6: Final answer
    x = 112,996.16

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.