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Finding the Third Proportional to 30,093.19 and 64,074.38

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Solution

The third proportional to 30,093.19 and 64,074.38 is: 136,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,093.19 : 64,074.38 = 64,074.38 : x
  2. Step 2: Convert to fraction form
    30,093.19/64,074.38 = 64,074.38/x
  3. Step 3: Cross multiply
    30,093.19x = 64,074.38 × 64,074.38
  4. Step 4: Simplify right side
    30,093.19x = 4,105,525,531.64
  5. Step 5: Solve for x
    x = 4,105,525,531.64/30,093.19
  6. Step 6: Final answer
    x = 136,427.07

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.