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Finding the Third Proportional to 5,008.88 and 10,712.63

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Solution

The third proportional to 5,008.88 and 10,712.63 is: 22,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,008.88 : 10,712.63 = 10,712.63 : x
  2. Step 2: Convert to fraction form
    5,008.88/10,712.63 = 10,712.63/x
  3. Step 3: Cross multiply
    5,008.88x = 10,712.63 × 10,712.63
  4. Step 4: Simplify right side
    5,008.88x = 114,760,334.39
  5. Step 5: Solve for x
    x = 114,760,334.39/5,008.88
  6. Step 6: Final answer
    x = 22,911.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.