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Finding the Third Proportional to 972.84 and 1,296.84

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Solution

The third proportional to 972.84 and 1,296.84 is: 1,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.84 : 1,296.84 = 1,296.84 : x
  2. Step 2: Convert to fraction form
    972.84/1,296.84 = 1,296.84/x
  3. Step 3: Cross multiply
    972.84x = 1,296.84 × 1,296.84
  4. Step 4: Simplify right side
    972.84x = 1,681,803.71
  5. Step 5: Solve for x
    x = 1,681,803.71/972.84
  6. Step 6: Final answer
    x = 1,728.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.