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Finding the Third Proportional to 2,615.50 and 5,609.50

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Solution

The third proportional to 2,615.50 and 5,609.50 is: 12,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.50 : 5,609.50 = 5,609.50 : x
  2. Step 2: Convert to fraction form
    2,615.50/5,609.50 = 5,609.50/x
  3. Step 3: Cross multiply
    2,615.50x = 5,609.50 × 5,609.50
  4. Step 4: Simplify right side
    2,615.50x = 31,466,490.25
  5. Step 5: Solve for x
    x = 31,466,490.25/2,615.50
  6. Step 6: Final answer
    x = 12,030.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.