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Finding the Third Proportional to 975.94 and 2,133.56

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Solution

The third proportional to 975.94 and 2,133.56 is: 4,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.94 : 2,133.56 = 2,133.56 : x
  2. Step 2: Convert to fraction form
    975.94/2,133.56 = 2,133.56/x
  3. Step 3: Cross multiply
    975.94x = 2,133.56 × 2,133.56
  4. Step 4: Simplify right side
    975.94x = 4,552,088.94
  5. Step 5: Solve for x
    x = 4,552,088.94/975.94
  6. Step 6: Final answer
    x = 4,664.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.