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Finding the Third Proportional to 6,324 and 13,470

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Solution

The third proportional to 6,324 and 13,470 is: 28,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324 : 13,470 = 13,470 : x
  2. Step 2: Convert to fraction form
    6,324/13,470 = 13,470/x
  3. Step 3: Cross multiply
    6,324x = 13,470 × 13,470
  4. Step 4: Simplify right side
    6,324x = 181,440,900
  5. Step 5: Solve for x
    x = 181,440,900/6,324
  6. Step 6: Final answer
    x = 28,690.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.