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Finding the Third Proportional to 29,430.75 and 64,116.19

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Solution

The third proportional to 29,430.75 and 64,116.19 is: 139,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,430.75 : 64,116.19 = 64,116.19 : x
  2. Step 2: Convert to fraction form
    29,430.75/64,116.19 = 64,116.19/x
  3. Step 3: Cross multiply
    29,430.75x = 64,116.19 × 64,116.19
  4. Step 4: Simplify right side
    29,430.75x = 4,110,885,499.54
  5. Step 5: Solve for x
    x = 4,110,885,499.54/29,430.75
  6. Step 6: Final answer
    x = 139,679.94

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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.