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Finding the Third Proportional to 1,730 and 3,148

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Solution

The third proportional to 1,730 and 3,148 is: 5,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730 : 3,148 = 3,148 : x
  2. Step 2: Convert to fraction form
    1,730/3,148 = 3,148/x
  3. Step 3: Cross multiply
    1,730x = 3,148 × 3,148
  4. Step 4: Simplify right side
    1,730x = 9,909,904
  5. Step 5: Solve for x
    x = 9,909,904/1,730
  6. Step 6: Final answer
    x = 5,728.27

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.