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Finding the Third Proportional to 47,296.50 and 70,534.50

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Solution

The third proportional to 47,296.50 and 70,534.50 is: 105,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,296.50 : 70,534.50 = 70,534.50 : x
  2. Step 2: Convert to fraction form
    47,296.50/70,534.50 = 70,534.50/x
  3. Step 3: Cross multiply
    47,296.50x = 70,534.50 × 70,534.50
  4. Step 4: Simplify right side
    47,296.50x = 4,975,115,690.25
  5. Step 5: Solve for x
    x = 4,975,115,690.25/47,296.50
  6. Step 6: Final answer
    x = 105,189.93

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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.