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Finding the Third Proportional to 29,429.50 and 63,770

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Solution

The third proportional to 29,429.50 and 63,770 is: 138,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,429.50 : 63,770 = 63,770 : x
  2. Step 2: Convert to fraction form
    29,429.50/63,770 = 63,770/x
  3. Step 3: Cross multiply
    29,429.50x = 63,770 × 63,770
  4. Step 4: Simplify right side
    29,429.50x = 4,066,612,900
  5. Step 5: Solve for x
    x = 4,066,612,900/29,429.50
  6. Step 6: Final answer
    x = 138,181.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.