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Finding the Third Proportional to 17,779.50 and 23,328

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Solution

The third proportional to 17,779.50 and 23,328 is: 30,608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.50 : 23,328 = 23,328 : x
  2. Step 2: Convert to fraction form
    17,779.50/23,328 = 23,328/x
  3. Step 3: Cross multiply
    17,779.50x = 23,328 × 23,328
  4. Step 4: Simplify right side
    17,779.50x = 544,195,584
  5. Step 5: Solve for x
    x = 544,195,584/17,779.50
  6. Step 6: Final answer
    x = 30,608.04

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.