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Finding the Third Proportional to 2,128.80 and 2,931.31

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Solution

The third proportional to 2,128.80 and 2,931.31 is: 4,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.80 : 2,931.31 = 2,931.31 : x
  2. Step 2: Convert to fraction form
    2,128.80/2,931.31 = 2,931.31/x
  3. Step 3: Cross multiply
    2,128.80x = 2,931.31 × 2,931.31
  4. Step 4: Simplify right side
    2,128.80x = 8,592,555.76
  5. Step 5: Solve for x
    x = 8,592,555.76/2,128.80
  6. Step 6: Final answer
    x = 4,036.34

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