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Finding the Third Proportional to 47,051 and 70,570

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Solution

The third proportional to 47,051 and 70,570 is: 105,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,051 : 70,570 = 70,570 : x
  2. Step 2: Convert to fraction form
    47,051/70,570 = 70,570/x
  3. Step 3: Cross multiply
    47,051x = 70,570 × 70,570
  4. Step 4: Simplify right side
    47,051x = 4,980,124,900
  5. Step 5: Solve for x
    x = 4,980,124,900/47,051
  6. Step 6: Final answer
    x = 105,845.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.