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Finding the Third Proportional to 1,875.38 and 3,927.94

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Solution

The third proportional to 1,875.38 and 3,927.94 is: 8,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.38 : 3,927.94 = 3,927.94 : x
  2. Step 2: Convert to fraction form
    1,875.38/3,927.94 = 3,927.94/x
  3. Step 3: Cross multiply
    1,875.38x = 3,927.94 × 3,927.94
  4. Step 4: Simplify right side
    1,875.38x = 15,428,693.00
  5. Step 5: Solve for x
    x = 15,428,693.00/1,875.38
  6. Step 6: Final answer
    x = 8,226.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.