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Finding the Third Proportional to 29,427.75 and 64,110.19

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Solution

The third proportional to 29,427.75 and 64,110.19 is: 139,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,427.75 : 64,110.19 = 64,110.19 : x
  2. Step 2: Convert to fraction form
    29,427.75/64,110.19 = 64,110.19/x
  3. Step 3: Cross multiply
    29,427.75x = 64,110.19 × 64,110.19
  4. Step 4: Simplify right side
    29,427.75x = 4,110,116,141.29
  5. Step 5: Solve for x
    x = 4,110,116,141.29/29,427.75
  6. Step 6: Final answer
    x = 139,668.04

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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.