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Finding the Third Proportional to 1,888 and 4,784

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Solution

The third proportional to 1,888 and 4,784 is: 12,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888 : 4,784 = 4,784 : x
  2. Step 2: Convert to fraction form
    1,888/4,784 = 4,784/x
  3. Step 3: Cross multiply
    1,888x = 4,784 × 4,784
  4. Step 4: Simplify right side
    1,888x = 22,886,656
  5. Step 5: Solve for x
    x = 22,886,656/1,888
  6. Step 6: Final answer
    x = 12,122.17

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.