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Finding the Third Proportional to 23,831.63 and 51,357.38

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Solution

The third proportional to 23,831.63 and 51,357.38 is: 110,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831.63 : 51,357.38 = 51,357.38 : x
  2. Step 2: Convert to fraction form
    23,831.63/51,357.38 = 51,357.38/x
  3. Step 3: Cross multiply
    23,831.63x = 51,357.38 × 51,357.38
  4. Step 4: Simplify right side
    23,831.63x = 2,637,579,966.89
  5. Step 5: Solve for x
    x = 2,637,579,966.89/23,831.63
  6. Step 6: Final answer
    x = 110,675.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.