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Finding the Third Proportional to 7,017.50 and 15,355.63

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Solution

The third proportional to 7,017.50 and 15,355.63 is: 33,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.50 : 15,355.63 = 15,355.63 : x
  2. Step 2: Convert to fraction form
    7,017.50/15,355.63 = 15,355.63/x
  3. Step 3: Cross multiply
    7,017.50x = 15,355.63 × 15,355.63
  4. Step 4: Simplify right side
    7,017.50x = 235,795,219.14
  5. Step 5: Solve for x
    x = 235,795,219.14/7,017.50
  6. Step 6: Final answer
    x = 33,601.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.