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Finding the Third Proportional to 5,784.47 and 9,000.84

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Solution

The third proportional to 5,784.47 and 9,000.84 is: 14,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.47 : 9,000.84 = 9,000.84 : x
  2. Step 2: Convert to fraction form
    5,784.47/9,000.84 = 9,000.84/x
  3. Step 3: Cross multiply
    5,784.47x = 9,000.84 × 9,000.84
  4. Step 4: Simplify right side
    5,784.47x = 81,015,188.21
  5. Step 5: Solve for x
    x = 81,015,188.21/5,784.47
  6. Step 6: Final answer
    x = 14,005.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.