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Finding the Third Proportional to 7,527.09 and 11,707.45

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Solution

The third proportional to 7,527.09 and 11,707.45 is: 18,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.09 : 11,707.45 = 11,707.45 : x
  2. Step 2: Convert to fraction form
    7,527.09/11,707.45 = 11,707.45/x
  3. Step 3: Cross multiply
    7,527.09x = 11,707.45 × 11,707.45
  4. Step 4: Simplify right side
    7,527.09x = 137,064,458.67
  5. Step 5: Solve for x
    x = 137,064,458.67/7,527.09
  6. Step 6: Final answer
    x = 18,209.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.