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Finding the Third Proportional to 4,558 and 9,827.50

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Solution

The third proportional to 4,558 and 9,827.50 is: 21,189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558 : 9,827.50 = 9,827.50 : x
  2. Step 2: Convert to fraction form
    4,558/9,827.50 = 9,827.50/x
  3. Step 3: Cross multiply
    4,558x = 9,827.50 × 9,827.50
  4. Step 4: Simplify right side
    4,558x = 96,579,756.25
  5. Step 5: Solve for x
    x = 96,579,756.25/4,558
  6. Step 6: Final answer
    x = 21,189.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.