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Finding the Third Proportional to 2,210.63 and 4,831.31

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Solution

The third proportional to 2,210.63 and 4,831.31 is: 10,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.63 : 4,831.31 = 4,831.31 : x
  2. Step 2: Convert to fraction form
    2,210.63/4,831.31 = 4,831.31/x
  3. Step 3: Cross multiply
    2,210.63x = 4,831.31 × 4,831.31
  4. Step 4: Simplify right side
    2,210.63x = 23,341,580.47
  5. Step 5: Solve for x
    x = 23,341,580.47/2,210.63
  6. Step 6: Final answer
    x = 10,558.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.