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Finding the Third Proportional to 28,176.75 and 42,189.75

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Solution

The third proportional to 28,176.75 and 42,189.75 is: 63,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,176.75 : 42,189.75 = 42,189.75 : x
  2. Step 2: Convert to fraction form
    28,176.75/42,189.75 = 42,189.75/x
  3. Step 3: Cross multiply
    28,176.75x = 42,189.75 × 42,189.75
  4. Step 4: Simplify right side
    28,176.75x = 1,779,975,005.06
  5. Step 5: Solve for x
    x = 1,779,975,005.06/28,176.75
  6. Step 6: Final answer
    x = 63,171.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.