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Finding the Third Proportional to 4,820.63 and 7,291.88

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Solution

The third proportional to 4,820.63 and 7,291.88 is: 11,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.63 : 7,291.88 = 7,291.88 : x
  2. Step 2: Convert to fraction form
    4,820.63/7,291.88 = 7,291.88/x
  3. Step 3: Cross multiply
    4,820.63x = 7,291.88 × 7,291.88
  4. Step 4: Simplify right side
    4,820.63x = 53,171,441.02
  5. Step 5: Solve for x
    x = 53,171,441.02/4,820.63
  6. Step 6: Final answer
    x = 11,029.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.