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Finding the Third Proportional to 45,931 and 65,010

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Solution

The third proportional to 45,931 and 65,010 is: 92,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,931 : 65,010 = 65,010 : x
  2. Step 2: Convert to fraction form
    45,931/65,010 = 65,010/x
  3. Step 3: Cross multiply
    45,931x = 65,010 × 65,010
  4. Step 4: Simplify right side
    45,931x = 4,226,300,100
  5. Step 5: Solve for x
    x = 4,226,300,100/45,931
  6. Step 6: Final answer
    x = 92,014.11

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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.