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Finding the Third Proportional to 4,884.47 and 7,529.63

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Solution

The third proportional to 4,884.47 and 7,529.63 is: 11,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.47 : 7,529.63 = 7,529.63 : x
  2. Step 2: Convert to fraction form
    4,884.47/7,529.63 = 7,529.63/x
  3. Step 3: Cross multiply
    4,884.47x = 7,529.63 × 7,529.63
  4. Step 4: Simplify right side
    4,884.47x = 56,695,252.64
  5. Step 5: Solve for x
    x = 56,695,252.64/4,884.47
  6. Step 6: Final answer
    x = 11,607.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.