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Finding the Third Proportional to 2,070 and 3,044.25

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Solution

The third proportional to 2,070 and 3,044.25 is: 4,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070 : 3,044.25 = 3,044.25 : x
  2. Step 2: Convert to fraction form
    2,070/3,044.25 = 3,044.25/x
  3. Step 3: Cross multiply
    2,070x = 3,044.25 × 3,044.25
  4. Step 4: Simplify right side
    2,070x = 9,267,458.06
  5. Step 5: Solve for x
    x = 9,267,458.06/2,070
  6. Step 6: Final answer
    x = 4,477.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.