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Finding the Third Proportional to 8,925.75 and 16,420.50

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Solution

The third proportional to 8,925.75 and 16,420.50 is: 30,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,925.75 : 16,420.50 = 16,420.50 : x
  2. Step 2: Convert to fraction form
    8,925.75/16,420.50 = 16,420.50/x
  3. Step 3: Cross multiply
    8,925.75x = 16,420.50 × 16,420.50
  4. Step 4: Simplify right side
    8,925.75x = 269,632,820.25
  5. Step 5: Solve for x
    x = 269,632,820.25/8,925.75
  6. Step 6: Final answer
    x = 30,208.42

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.