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Finding the Third Proportional to 4,784 and 8,623

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Solution

The third proportional to 4,784 and 8,623 is: 15,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784 : 8,623 = 8,623 : x
  2. Step 2: Convert to fraction form
    4,784/8,623 = 8,623/x
  3. Step 3: Cross multiply
    4,784x = 8,623 × 8,623
  4. Step 4: Simplify right side
    4,784x = 74,356,129
  5. Step 5: Solve for x
    x = 74,356,129/4,784
  6. Step 6: Final answer
    x = 15,542.67

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.