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Finding the Third Proportional to 10,033.50 and 15,527.63

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Solution

The third proportional to 10,033.50 and 15,527.63 is: 24,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.50 : 15,527.63 = 15,527.63 : x
  2. Step 2: Convert to fraction form
    10,033.50/15,527.63 = 15,527.63/x
  3. Step 3: Cross multiply
    10,033.50x = 15,527.63 × 15,527.63
  4. Step 4: Simplify right side
    10,033.50x = 241,107,138.14
  5. Step 5: Solve for x
    x = 241,107,138.14/10,033.50
  6. Step 6: Final answer
    x = 24,030.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.