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Finding the Third Proportional to 13,892.63 and 30,006.19

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Solution

The third proportional to 13,892.63 and 30,006.19 is: 64,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.63 : 30,006.19 = 30,006.19 : x
  2. Step 2: Convert to fraction form
    13,892.63/30,006.19 = 30,006.19/x
  3. Step 3: Cross multiply
    13,892.63x = 30,006.19 × 30,006.19
  4. Step 4: Simplify right side
    13,892.63x = 900,371,288.29
  5. Step 5: Solve for x
    x = 900,371,288.29/13,892.63
  6. Step 6: Final answer
    x = 64,809.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.