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Finding the Third Proportional to 18,071 and 28,777.50

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Solution

The third proportional to 18,071 and 28,777.50 is: 45,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,071 : 28,777.50 = 28,777.50 : x
  2. Step 2: Convert to fraction form
    18,071/28,777.50 = 28,777.50/x
  3. Step 3: Cross multiply
    18,071x = 28,777.50 × 28,777.50
  4. Step 4: Simplify right side
    18,071x = 828,144,506.25
  5. Step 5: Solve for x
    x = 828,144,506.25/18,071
  6. Step 6: Final answer
    x = 45,827.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.