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Finding the Third Proportional to 929.75 and 2,154.50

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Solution

The third proportional to 929.75 and 2,154.50 is: 4,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.75 : 2,154.50 = 2,154.50 : x
  2. Step 2: Convert to fraction form
    929.75/2,154.50 = 2,154.50/x
  3. Step 3: Cross multiply
    929.75x = 2,154.50 × 2,154.50
  4. Step 4: Simplify right side
    929.75x = 4,641,870.25
  5. Step 5: Solve for x
    x = 4,641,870.25/929.75
  6. Step 6: Final answer
    x = 4,992.60

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.