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Finding the Third Proportional to 28,962 and 63,246

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Solution

The third proportional to 28,962 and 63,246 is: 138,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,962 : 63,246 = 63,246 : x
  2. Step 2: Convert to fraction form
    28,962/63,246 = 63,246/x
  3. Step 3: Cross multiply
    28,962x = 63,246 × 63,246
  4. Step 4: Simplify right side
    28,962x = 4,000,056,516
  5. Step 5: Solve for x
    x = 4,000,056,516/28,962
  6. Step 6: Final answer
    x = 138,113.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.