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Finding the Third Proportional to 14,775.33 and 32,831.16

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Solution

The third proportional to 14,775.33 and 32,831.16 is: 72,951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,775.33 : 32,831.16 = 32,831.16 : x
  2. Step 2: Convert to fraction form
    14,775.33/32,831.16 = 32,831.16/x
  3. Step 3: Cross multiply
    14,775.33x = 32,831.16 × 32,831.16
  4. Step 4: Simplify right side
    14,775.33x = 1,077,884,820.71
  5. Step 5: Solve for x
    x = 1,077,884,820.71/14,775.33
  6. Step 6: Final answer
    x = 72,951.67

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.