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Finding the Third Proportional to 21,044.81 and 46,761.47

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Solution

The third proportional to 21,044.81 and 46,761.47 is: 103,903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,044.81 : 46,761.47 = 46,761.47 : x
  2. Step 2: Convert to fraction form
    21,044.81/46,761.47 = 46,761.47/x
  3. Step 3: Cross multiply
    21,044.81x = 46,761.47 × 46,761.47
  4. Step 4: Simplify right side
    21,044.81x = 2,186,634,959.66
  5. Step 5: Solve for x
    x = 2,186,634,959.66/21,044.81
  6. Step 6: Final answer
    x = 103,903.75

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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.