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Finding the Third Proportional to 948.50 and 1,463.50

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Solution

The third proportional to 948.50 and 1,463.50 is: 2,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.50 : 1,463.50 = 1,463.50 : x
  2. Step 2: Convert to fraction form
    948.50/1,463.50 = 1,463.50/x
  3. Step 3: Cross multiply
    948.50x = 1,463.50 × 1,463.50
  4. Step 4: Simplify right side
    948.50x = 2,141,832.25
  5. Step 5: Solve for x
    x = 2,141,832.25/948.50
  6. Step 6: Final answer
    x = 2,258.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.