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Finding the Third Proportional to 4,970 and 5,888

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Solution

The third proportional to 4,970 and 5,888 is: 6,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970 : 5,888 = 5,888 : x
  2. Step 2: Convert to fraction form
    4,970/5,888 = 5,888/x
  3. Step 3: Cross multiply
    4,970x = 5,888 × 5,888
  4. Step 4: Simplify right side
    4,970x = 34,668,544
  5. Step 5: Solve for x
    x = 34,668,544/4,970
  6. Step 6: Final answer
    x = 6,975.56

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.