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Finding the Third Proportional to 28,674 and 42,705

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Solution

The third proportional to 28,674 and 42,705 is: 63,601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,674 : 42,705 = 42,705 : x
  2. Step 2: Convert to fraction form
    28,674/42,705 = 42,705/x
  3. Step 3: Cross multiply
    28,674x = 42,705 × 42,705
  4. Step 4: Simplify right side
    28,674x = 1,823,717,025
  5. Step 5: Solve for x
    x = 1,823,717,025/28,674
  6. Step 6: Final answer
    x = 63,601.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.