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Finding the Third Proportional to 8,337.94 and 15,430.50

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Solution

The third proportional to 8,337.94 and 15,430.50 is: 28,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.94 : 15,430.50 = 15,430.50 : x
  2. Step 2: Convert to fraction form
    8,337.94/15,430.50 = 15,430.50/x
  3. Step 3: Cross multiply
    8,337.94x = 15,430.50 × 15,430.50
  4. Step 4: Simplify right side
    8,337.94x = 238,100,330.25
  5. Step 5: Solve for x
    x = 238,100,330.25/8,337.94
  6. Step 6: Final answer
    x = 28,556.26

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.