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Finding the Third Proportional to 802.69 and 1,831.22

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Solution

The third proportional to 802.69 and 1,831.22 is: 4,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.69 : 1,831.22 = 1,831.22 : x
  2. Step 2: Convert to fraction form
    802.69/1,831.22 = 1,831.22/x
  3. Step 3: Cross multiply
    802.69x = 1,831.22 × 1,831.22
  4. Step 4: Simplify right side
    802.69x = 3,353,362.11
  5. Step 5: Solve for x
    x = 3,353,362.11/802.69
  6. Step 6: Final answer
    x = 4,177.67

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.