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Finding the Third Proportional to 4,305 and 9,127.88

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Solution

The third proportional to 4,305 and 9,127.88 is: 19,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305 : 9,127.88 = 9,127.88 : x
  2. Step 2: Convert to fraction form
    4,305/9,127.88 = 9,127.88/x
  3. Step 3: Cross multiply
    4,305x = 9,127.88 × 9,127.88
  4. Step 4: Simplify right side
    4,305x = 83,318,102.02
  5. Step 5: Solve for x
    x = 83,318,102.02/4,305
  6. Step 6: Final answer
    x = 19,353.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.