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Finding the Third Proportional to 7,503.47 and 16,418.53

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Solution

The third proportional to 7,503.47 and 16,418.53 is: 35,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.47 : 16,418.53 = 16,418.53 : x
  2. Step 2: Convert to fraction form
    7,503.47/16,418.53 = 16,418.53/x
  3. Step 3: Cross multiply
    7,503.47x = 16,418.53 × 16,418.53
  4. Step 4: Simplify right side
    7,503.47x = 269,568,168.41
  5. Step 5: Solve for x
    x = 269,568,168.41/7,503.47
  6. Step 6: Final answer
    x = 35,925.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.