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Finding the Third Proportional to 7,841.81 and 17,430.19

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Solution

The third proportional to 7,841.81 and 17,430.19 is: 38,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.81 : 17,430.19 = 17,430.19 : x
  2. Step 2: Convert to fraction form
    7,841.81/17,430.19 = 17,430.19/x
  3. Step 3: Cross multiply
    7,841.81x = 17,430.19 × 17,430.19
  4. Step 4: Simplify right side
    7,841.81x = 303,811,436.29
  5. Step 5: Solve for x
    x = 303,811,436.29/7,841.81
  6. Step 6: Final answer
    x = 38,742.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.