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Finding the Third Proportional to 42,706.30 and 63,713.46

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Solution

The third proportional to 42,706.30 and 63,713.46 is: 95,054.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706.30 : 63,713.46 = 63,713.46 : x
  2. Step 2: Convert to fraction form
    42,706.30/63,713.46 = 63,713.46/x
  3. Step 3: Cross multiply
    42,706.30x = 63,713.46 × 63,713.46
  4. Step 4: Simplify right side
    42,706.30x = 4,059,405,104.63
  5. Step 5: Solve for x
    x = 4,059,405,104.63/42,706.30
  6. Step 6: Final answer
    x = 95,054.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.