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Finding the Third Proportional to 2,032.75 and 2,971.63

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Solution

The third proportional to 2,032.75 and 2,971.63 is: 4,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.75 : 2,971.63 = 2,971.63 : x
  2. Step 2: Convert to fraction form
    2,032.75/2,971.63 = 2,971.63/x
  3. Step 3: Cross multiply
    2,032.75x = 2,971.63 × 2,971.63
  4. Step 4: Simplify right side
    2,032.75x = 8,830,555.14
  5. Step 5: Solve for x
    x = 8,830,555.14/2,032.75
  6. Step 6: Final answer
    x = 4,344.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.