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Finding the Third Proportional to 7,502.63 and 10,855.13

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Solution

The third proportional to 7,502.63 and 10,855.13 is: 15,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.63 : 10,855.13 = 10,855.13 : x
  2. Step 2: Convert to fraction form
    7,502.63/10,855.13 = 10,855.13/x
  3. Step 3: Cross multiply
    7,502.63x = 10,855.13 × 10,855.13
  4. Step 4: Simplify right side
    7,502.63x = 117,833,738.77
  5. Step 5: Solve for x
    x = 117,833,738.77/7,502.63
  6. Step 6: Final answer
    x = 15,705.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.