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Finding the Third Proportional to 28,556 and 40,587.50

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Solution

The third proportional to 28,556 and 40,587.50 is: 57,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,556 : 40,587.50 = 40,587.50 : x
  2. Step 2: Convert to fraction form
    28,556/40,587.50 = 40,587.50/x
  3. Step 3: Cross multiply
    28,556x = 40,587.50 × 40,587.50
  4. Step 4: Simplify right side
    28,556x = 1,647,345,156.25
  5. Step 5: Solve for x
    x = 1,647,345,156.25/28,556
  6. Step 6: Final answer
    x = 57,688.23

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.