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Finding the Third Proportional to 28,083 and 40,132.50

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Solution

The third proportional to 28,083 and 40,132.50 is: 57,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,083 : 40,132.50 = 40,132.50 : x
  2. Step 2: Convert to fraction form
    28,083/40,132.50 = 40,132.50/x
  3. Step 3: Cross multiply
    28,083x = 40,132.50 × 40,132.50
  4. Step 4: Simplify right side
    28,083x = 1,610,617,556.25
  5. Step 5: Solve for x
    x = 1,610,617,556.25/28,083
  6. Step 6: Final answer
    x = 57,352.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.