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Finding the Third Proportional to 21,386.25 and 51,521.63

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Solution

The third proportional to 21,386.25 and 51,521.63 is: 124,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386.25 : 51,521.63 = 51,521.63 : x
  2. Step 2: Convert to fraction form
    21,386.25/51,521.63 = 51,521.63/x
  3. Step 3: Cross multiply
    21,386.25x = 51,521.63 × 51,521.63
  4. Step 4: Simplify right side
    21,386.25x = 2,654,477,842.64
  5. Step 5: Solve for x
    x = 2,654,477,842.64/21,386.25
  6. Step 6: Final answer
    x = 124,120.77

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.