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Finding the Third Proportional to 1,875.94 and 3,945.94

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Solution

The third proportional to 1,875.94 and 3,945.94 is: 8,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.94 : 3,945.94 = 3,945.94 : x
  2. Step 2: Convert to fraction form
    1,875.94/3,945.94 = 3,945.94/x
  3. Step 3: Cross multiply
    1,875.94x = 3,945.94 × 3,945.94
  4. Step 4: Simplify right side
    1,875.94x = 15,570,422.75
  5. Step 5: Solve for x
    x = 15,570,422.75/1,875.94
  6. Step 6: Final answer
    x = 8,300.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.