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Finding the Third Proportional to 28,892 and 45,970

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Solution

The third proportional to 28,892 and 45,970 is: 73,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,892 : 45,970 = 45,970 : x
  2. Step 2: Convert to fraction form
    28,892/45,970 = 45,970/x
  3. Step 3: Cross multiply
    28,892x = 45,970 × 45,970
  4. Step 4: Simplify right side
    28,892x = 2,113,240,900
  5. Step 5: Solve for x
    x = 2,113,240,900/28,892
  6. Step 6: Final answer
    x = 73,142.77

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.