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Finding the Third Proportional to 2,561.63 and 6,044.63

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Solution

The third proportional to 2,561.63 and 6,044.63 is: 14,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.63 : 6,044.63 = 6,044.63 : x
  2. Step 2: Convert to fraction form
    2,561.63/6,044.63 = 6,044.63/x
  3. Step 3: Cross multiply
    2,561.63x = 6,044.63 × 6,044.63
  4. Step 4: Simplify right side
    2,561.63x = 36,537,491.39
  5. Step 5: Solve for x
    x = 36,537,491.39/2,561.63
  6. Step 6: Final answer
    x = 14,263.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.