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Finding the Third Proportional to 4,780.88 and 10,253.63

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Solution

The third proportional to 4,780.88 and 10,253.63 is: 21,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.88 : 10,253.63 = 10,253.63 : x
  2. Step 2: Convert to fraction form
    4,780.88/10,253.63 = 10,253.63/x
  3. Step 3: Cross multiply
    4,780.88x = 10,253.63 × 10,253.63
  4. Step 4: Simplify right side
    4,780.88x = 105,136,825.64
  5. Step 5: Solve for x
    x = 105,136,825.64/4,780.88
  6. Step 6: Final answer
    x = 21,991.13

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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.