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Finding the Third Proportional to 16,594 and 36,470

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Solution

The third proportional to 16,594 and 36,470 is: 80,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594 : 36,470 = 36,470 : x
  2. Step 2: Convert to fraction form
    16,594/36,470 = 36,470/x
  3. Step 3: Cross multiply
    16,594x = 36,470 × 36,470
  4. Step 4: Simplify right side
    16,594x = 1,330,060,900
  5. Step 5: Solve for x
    x = 1,330,060,900/16,594
  6. Step 6: Final answer
    x = 80,153.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.