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Finding the Third Proportional to 4,675.88 and 9,999.94

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Solution

The third proportional to 4,675.88 and 9,999.94 is: 21,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.88 : 9,999.94 = 9,999.94 : x
  2. Step 2: Convert to fraction form
    4,675.88/9,999.94 = 9,999.94/x
  3. Step 3: Cross multiply
    4,675.88x = 9,999.94 × 9,999.94
  4. Step 4: Simplify right side
    4,675.88x = 99,998,750.00
  5. Step 5: Solve for x
    x = 99,998,750.00/4,675.88
  6. Step 6: Final answer
    x = 21,386.10

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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.