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Finding the Third Proportional to 28,556 and 45,600

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Solution

The third proportional to 28,556 and 45,600 is: 72,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,556 : 45,600 = 45,600 : x
  2. Step 2: Convert to fraction form
    28,556/45,600 = 45,600/x
  3. Step 3: Cross multiply
    28,556x = 45,600 × 45,600
  4. Step 4: Simplify right side
    28,556x = 2,079,360,000
  5. Step 5: Solve for x
    x = 2,079,360,000/28,556
  6. Step 6: Final answer
    x = 72,816.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.