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Finding the Third Proportional to 4,770 and 9,538.50

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Solution

The third proportional to 4,770 and 9,538.50 is: 19,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770 : 9,538.50 = 9,538.50 : x
  2. Step 2: Convert to fraction form
    4,770/9,538.50 = 9,538.50/x
  3. Step 3: Cross multiply
    4,770x = 9,538.50 × 9,538.50
  4. Step 4: Simplify right side
    4,770x = 90,982,982.25
  5. Step 5: Solve for x
    x = 90,982,982.25/4,770
  6. Step 6: Final answer
    x = 19,074.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.