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Finding the Third Proportional to 7,597.88 and 16,582.88

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Solution

The third proportional to 7,597.88 and 16,582.88 is: 36,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.88 : 16,582.88 = 16,582.88 : x
  2. Step 2: Convert to fraction form
    7,597.88/16,582.88 = 16,582.88/x
  3. Step 3: Cross multiply
    7,597.88x = 16,582.88 × 16,582.88
  4. Step 4: Simplify right side
    7,597.88x = 274,991,743.27
  5. Step 5: Solve for x
    x = 274,991,743.27/7,597.88
  6. Step 6: Final answer
    x = 36,193.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.