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Finding the Third Proportional to 973.75 and 1,792.25

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Solution

The third proportional to 973.75 and 1,792.25 is: 3,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.75 : 1,792.25 = 1,792.25 : x
  2. Step 2: Convert to fraction form
    973.75/1,792.25 = 1,792.25/x
  3. Step 3: Cross multiply
    973.75x = 1,792.25 × 1,792.25
  4. Step 4: Simplify right side
    973.75x = 3,212,160.06
  5. Step 5: Solve for x
    x = 3,212,160.06/973.75
  6. Step 6: Final answer
    x = 3,298.75

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.