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Finding the Third Proportional to 30,094.03 and 64,812.66

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Solution

The third proportional to 30,094.03 and 64,812.66 is: 139,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,094.03 : 64,812.66 = 64,812.66 : x
  2. Step 2: Convert to fraction form
    30,094.03/64,812.66 = 64,812.66/x
  3. Step 3: Cross multiply
    30,094.03x = 64,812.66 × 64,812.66
  4. Step 4: Simplify right side
    30,094.03x = 4,200,680,410.18
  5. Step 5: Solve for x
    x = 4,200,680,410.18/30,094.03
  6. Step 6: Final answer
    x = 139,585.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.