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Finding the Third Proportional to 10,514.81 and 22,988.81

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Solution

The third proportional to 10,514.81 and 22,988.81 is: 50,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.81 : 22,988.81 = 22,988.81 : x
  2. Step 2: Convert to fraction form
    10,514.81/22,988.81 = 22,988.81/x
  3. Step 3: Cross multiply
    10,514.81x = 22,988.81 × 22,988.81
  4. Step 4: Simplify right side
    10,514.81x = 528,485,500.16
  5. Step 5: Solve for x
    x = 528,485,500.16/10,514.81
  6. Step 6: Final answer
    x = 50,261.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.