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Finding the Third Proportional to 21,786.47 and 47,570.63

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Solution

The third proportional to 21,786.47 and 47,570.63 is: 103,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786.47 : 47,570.63 = 47,570.63 : x
  2. Step 2: Convert to fraction form
    21,786.47/47,570.63 = 47,570.63/x
  3. Step 3: Cross multiply
    21,786.47x = 47,570.63 × 47,570.63
  4. Step 4: Simplify right side
    21,786.47x = 2,262,964,362.89
  5. Step 5: Solve for x
    x = 2,262,964,362.89/21,786.47
  6. Step 6: Final answer
    x = 103,870.18

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.