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Finding the Third Proportional to 19,779 and 30,256.50

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Solution

The third proportional to 19,779 and 30,256.50 is: 46,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,779 : 30,256.50 = 30,256.50 : x
  2. Step 2: Convert to fraction form
    19,779/30,256.50 = 30,256.50/x
  3. Step 3: Cross multiply
    19,779x = 30,256.50 × 30,256.50
  4. Step 4: Simplify right side
    19,779x = 915,455,792.25
  5. Step 5: Solve for x
    x = 915,455,792.25/19,779
  6. Step 6: Final answer
    x = 46,284.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.