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Finding the Third Proportional to 10,418.63 and 16,134.19

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Solution

The third proportional to 10,418.63 and 16,134.19 is: 24,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.63 : 16,134.19 = 16,134.19 : x
  2. Step 2: Convert to fraction form
    10,418.63/16,134.19 = 16,134.19/x
  3. Step 3: Cross multiply
    10,418.63x = 16,134.19 × 16,134.19
  4. Step 4: Simplify right side
    10,418.63x = 260,312,006.29
  5. Step 5: Solve for x
    x = 260,312,006.29/10,418.63
  6. Step 6: Final answer
    x = 24,985.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.