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Finding the Third Proportional to 47,709 and 71,887.50

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Solution

The third proportional to 47,709 and 71,887.50 is: 108,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709 : 71,887.50 = 71,887.50 : x
  2. Step 2: Convert to fraction form
    47,709/71,887.50 = 71,887.50/x
  3. Step 3: Cross multiply
    47,709x = 71,887.50 × 71,887.50
  4. Step 4: Simplify right side
    47,709x = 5,167,812,656.25
  5. Step 5: Solve for x
    x = 5,167,812,656.25/47,709
  6. Step 6: Final answer
    x = 108,319.45

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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.