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Finding the Third Proportional to 47,958 and 72,602

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Solution

The third proportional to 47,958 and 72,602 is: 109,909.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,958 : 72,602 = 72,602 : x
  2. Step 2: Convert to fraction form
    47,958/72,602 = 72,602/x
  3. Step 3: Cross multiply
    47,958x = 72,602 × 72,602
  4. Step 4: Simplify right side
    47,958x = 5,271,050,404
  5. Step 5: Solve for x
    x = 5,271,050,404/47,958
  6. Step 6: Final answer
    x = 109,909.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.