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Finding the Third Proportional to 4,920.75 and 6,971.06

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Solution

The third proportional to 4,920.75 and 6,971.06 is: 9,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.75 : 6,971.06 = 6,971.06 : x
  2. Step 2: Convert to fraction form
    4,920.75/6,971.06 = 6,971.06/x
  3. Step 3: Cross multiply
    4,920.75x = 6,971.06 × 6,971.06
  4. Step 4: Simplify right side
    4,920.75x = 48,595,712.38
  5. Step 5: Solve for x
    x = 48,595,712.38/4,920.75
  6. Step 6: Final answer
    x = 9,875.67

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.