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Finding the Third Proportional to 16,454.25 and 23,450.63

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Solution

The third proportional to 16,454.25 and 23,450.63 is: 33,421.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.25 : 23,450.63 = 23,450.63 : x
  2. Step 2: Convert to fraction form
    16,454.25/23,450.63 = 23,450.63/x
  3. Step 3: Cross multiply
    16,454.25x = 23,450.63 × 23,450.63
  4. Step 4: Simplify right side
    16,454.25x = 549,931,812.89
  5. Step 5: Solve for x
    x = 549,931,812.89/16,454.25
  6. Step 6: Final answer
    x = 33,421.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.