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Finding the Third Proportional to 28,809 and 40,513.50

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Solution

The third proportional to 28,809 and 40,513.50 is: 56,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,809 : 40,513.50 = 40,513.50 : x
  2. Step 2: Convert to fraction form
    28,809/40,513.50 = 40,513.50/x
  3. Step 3: Cross multiply
    28,809x = 40,513.50 × 40,513.50
  4. Step 4: Simplify right side
    28,809x = 1,641,343,682.25
  5. Step 5: Solve for x
    x = 1,641,343,682.25/28,809
  6. Step 6: Final answer
    x = 56,973.30

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.