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Finding the Third Proportional to 7,503.57 and 15,499.79

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Solution

The third proportional to 7,503.57 and 15,499.79 is: 32,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.57 : 15,499.79 = 15,499.79 : x
  2. Step 2: Convert to fraction form
    7,503.57/15,499.79 = 15,499.79/x
  3. Step 3: Cross multiply
    7,503.57x = 15,499.79 × 15,499.79
  4. Step 4: Simplify right side
    7,503.57x = 240,243,582.07
  5. Step 5: Solve for x
    x = 240,243,582.07/7,503.57
  6. Step 6: Final answer
    x = 32,017.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.