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Finding the Third Proportional to 28,446.19 and 40,974.19

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Solution

The third proportional to 28,446.19 and 40,974.19 is: 59,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,446.19 : 40,974.19 = 40,974.19 : x
  2. Step 2: Convert to fraction form
    28,446.19/40,974.19 = 40,974.19/x
  3. Step 3: Cross multiply
    28,446.19x = 40,974.19 × 40,974.19
  4. Step 4: Simplify right side
    28,446.19x = 1,678,884,041.29
  5. Step 5: Solve for x
    x = 1,678,884,041.29/28,446.19
  6. Step 6: Final answer
    x = 59,019.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.