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Finding the Third Proportional to 47,596.78 and 70,875.42

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Solution

The third proportional to 47,596.78 and 70,875.42 is: 105,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,596.78 : 70,875.42 = 70,875.42 : x
  2. Step 2: Convert to fraction form
    47,596.78/70,875.42 = 70,875.42/x
  3. Step 3: Cross multiply
    47,596.78x = 70,875.42 × 70,875.42
  4. Step 4: Simplify right side
    47,596.78x = 5,023,325,425.96
  5. Step 5: Solve for x
    x = 5,023,325,425.96/47,596.78
  6. Step 6: Final answer
    x = 105,539.18

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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.