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Finding the Third Proportional to 4,580 and 6,310

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Solution

The third proportional to 4,580 and 6,310 is: 8,693.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580 : 6,310 = 6,310 : x
  2. Step 2: Convert to fraction form
    4,580/6,310 = 6,310/x
  3. Step 3: Cross multiply
    4,580x = 6,310 × 6,310
  4. Step 4: Simplify right side
    4,580x = 39,816,100
  5. Step 5: Solve for x
    x = 39,816,100/4,580
  6. Step 6: Final answer
    x = 8,693.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.