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Finding the Third Proportional to 4,779.84 and 9,994.22

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Solution

The third proportional to 4,779.84 and 9,994.22 is: 20,897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779.84 : 9,994.22 = 9,994.22 : x
  2. Step 2: Convert to fraction form
    4,779.84/9,994.22 = 9,994.22/x
  3. Step 3: Cross multiply
    4,779.84x = 9,994.22 × 9,994.22
  4. Step 4: Simplify right side
    4,779.84x = 99,884,408.42
  5. Step 5: Solve for x
    x = 99,884,408.42/4,779.84
  6. Step 6: Final answer
    x = 20,897.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.