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Finding the Third Proportional to 7,700 and 17,888

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Solution

The third proportional to 7,700 and 17,888 is: 41,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700 : 17,888 = 17,888 : x
  2. Step 2: Convert to fraction form
    7,700/17,888 = 17,888/x
  3. Step 3: Cross multiply
    7,700x = 17,888 × 17,888
  4. Step 4: Simplify right side
    7,700x = 319,980,544
  5. Step 5: Solve for x
    x = 319,980,544/7,700
  6. Step 6: Final answer
    x = 41,555.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.