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Finding the Third Proportional to 47,202 and 65,995.50

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Solution

The third proportional to 47,202 and 65,995.50 is: 92,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,202 : 65,995.50 = 65,995.50 : x
  2. Step 2: Convert to fraction form
    47,202/65,995.50 = 65,995.50/x
  3. Step 3: Cross multiply
    47,202x = 65,995.50 × 65,995.50
  4. Step 4: Simplify right side
    47,202x = 4,355,406,020.25
  5. Step 5: Solve for x
    x = 4,355,406,020.25/47,202
  6. Step 6: Final answer
    x = 92,271.64

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.