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Finding the Third Proportional to 45,304.31 and 66,635.16

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Solution

The third proportional to 45,304.31 and 66,635.16 is: 98,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,304.31 : 66,635.16 = 66,635.16 : x
  2. Step 2: Convert to fraction form
    45,304.31/66,635.16 = 66,635.16/x
  3. Step 3: Cross multiply
    45,304.31x = 66,635.16 × 66,635.16
  4. Step 4: Simplify right side
    45,304.31x = 4,440,244,048.46
  5. Step 5: Solve for x
    x = 4,440,244,048.46/45,304.31
  6. Step 6: Final answer
    x = 98,009.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.