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Finding the Third Proportional to 972.16 and 1,494.25

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Solution

The third proportional to 972.16 and 1,494.25 is: 2,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.16 : 1,494.25 = 1,494.25 : x
  2. Step 2: Convert to fraction form
    972.16/1,494.25 = 1,494.25/x
  3. Step 3: Cross multiply
    972.16x = 1,494.25 × 1,494.25
  4. Step 4: Simplify right side
    972.16x = 2,232,783.06
  5. Step 5: Solve for x
    x = 2,232,783.06/972.16
  6. Step 6: Final answer
    x = 2,296.73

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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.