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Finding the Third Proportional to 45,926.50 and 65,004

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Solution

The third proportional to 45,926.50 and 65,004 is: 92,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,926.50 : 65,004 = 65,004 : x
  2. Step 2: Convert to fraction form
    45,926.50/65,004 = 65,004/x
  3. Step 3: Cross multiply
    45,926.50x = 65,004 × 65,004
  4. Step 4: Simplify right side
    45,926.50x = 4,225,520,016
  5. Step 5: Solve for x
    x = 4,225,520,016/45,926.50
  6. Step 6: Final answer
    x = 92,006.14

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.