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Finding the Third Proportional to 7,560.42 and 16,432.45

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Solution

The third proportional to 7,560.42 and 16,432.45 is: 35,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.42 : 16,432.45 = 16,432.45 : x
  2. Step 2: Convert to fraction form
    7,560.42/16,432.45 = 16,432.45/x
  3. Step 3: Cross multiply
    7,560.42x = 16,432.45 × 16,432.45
  4. Step 4: Simplify right side
    7,560.42x = 270,025,515.71
  5. Step 5: Solve for x
    x = 270,025,515.71/7,560.42
  6. Step 6: Final answer
    x = 35,715.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.