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Finding the Third Proportional to 18,779.50 and 29,247

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Solution

The third proportional to 18,779.50 and 29,247 is: 45,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,779.50 : 29,247 = 29,247 : x
  2. Step 2: Convert to fraction form
    18,779.50/29,247 = 29,247/x
  3. Step 3: Cross multiply
    18,779.50x = 29,247 × 29,247
  4. Step 4: Simplify right side
    18,779.50x = 855,387,009
  5. Step 5: Solve for x
    x = 855,387,009/18,779.50
  6. Step 6: Final answer
    x = 45,548.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.