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Finding the Third Proportional to 30,463.31 and 66,812.06

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Solution

The third proportional to 30,463.31 and 66,812.06 is: 146,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463.31 : 66,812.06 = 66,812.06 : x
  2. Step 2: Convert to fraction form
    30,463.31/66,812.06 = 66,812.06/x
  3. Step 3: Cross multiply
    30,463.31x = 66,812.06 × 66,812.06
  4. Step 4: Simplify right side
    30,463.31x = 4,463,851,695.50
  5. Step 5: Solve for x
    x = 4,463,851,695.50/30,463.31
  6. Step 6: Final answer
    x = 146,532.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.