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Finding the Third Proportional to 7,575.19 and 15,527.53

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Solution

The third proportional to 7,575.19 and 15,527.53 is: 31,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.19 : 15,527.53 = 15,527.53 : x
  2. Step 2: Convert to fraction form
    7,575.19/15,527.53 = 15,527.53/x
  3. Step 3: Cross multiply
    7,575.19x = 15,527.53 × 15,527.53
  4. Step 4: Simplify right side
    7,575.19x = 241,104,226.72
  5. Step 5: Solve for x
    x = 241,104,226.72/7,575.19
  6. Step 6: Final answer
    x = 31,828.15

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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.