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Finding the Third Proportional to 10,520.63 and 22,681.13

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Solution

The third proportional to 10,520.63 and 22,681.13 is: 48,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.63 : 22,681.13 = 22,681.13 : x
  2. Step 2: Convert to fraction form
    10,520.63/22,681.13 = 22,681.13/x
  3. Step 3: Cross multiply
    10,520.63x = 22,681.13 × 22,681.13
  4. Step 4: Simplify right side
    10,520.63x = 514,433,431.27
  5. Step 5: Solve for x
    x = 514,433,431.27/10,520.63
  6. Step 6: Final answer
    x = 48,897.61

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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.