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Finding the Third Proportional to 2,935 and 4,582.25

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Solution

The third proportional to 2,935 and 4,582.25 is: 7,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935 : 4,582.25 = 4,582.25 : x
  2. Step 2: Convert to fraction form
    2,935/4,582.25 = 4,582.25/x
  3. Step 3: Cross multiply
    2,935x = 4,582.25 × 4,582.25
  4. Step 4: Simplify right side
    2,935x = 20,997,015.06
  5. Step 5: Solve for x
    x = 20,997,015.06/2,935
  6. Step 6: Final answer
    x = 7,154.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.