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Finding the Third Proportional to 45,895 and 64,630

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Solution

The third proportional to 45,895 and 64,630 is: 91,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,895 : 64,630 = 64,630 : x
  2. Step 2: Convert to fraction form
    45,895/64,630 = 64,630/x
  3. Step 3: Cross multiply
    45,895x = 64,630 × 64,630
  4. Step 4: Simplify right side
    45,895x = 4,177,036,900
  5. Step 5: Solve for x
    x = 4,177,036,900/45,895
  6. Step 6: Final answer
    x = 91,012.90

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.