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Finding the Third Proportional to 7,573.50 and 15,523.88

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Solution

The third proportional to 7,573.50 and 15,523.88 is: 31,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.50 : 15,523.88 = 15,523.88 : x
  2. Step 2: Convert to fraction form
    7,573.50/15,523.88 = 15,523.88/x
  3. Step 3: Cross multiply
    7,573.50x = 15,523.88 × 15,523.88
  4. Step 4: Simplify right side
    7,573.50x = 240,990,695.02
  5. Step 5: Solve for x
    x = 240,990,695.02/7,573.50
  6. Step 6: Final answer
    x = 31,820.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.