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Finding the Third Proportional to 7,573.50 and 13,506.75

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Solution

The third proportional to 7,573.50 and 13,506.75 is: 24,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.50 : 13,506.75 = 13,506.75 : x
  2. Step 2: Convert to fraction form
    7,573.50/13,506.75 = 13,506.75/x
  3. Step 3: Cross multiply
    7,573.50x = 13,506.75 × 13,506.75
  4. Step 4: Simplify right side
    7,573.50x = 182,432,295.56
  5. Step 5: Solve for x
    x = 182,432,295.56/7,573.50
  6. Step 6: Final answer
    x = 24,088.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.