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Finding the Third Proportional to 21,182.63 and 46,054.13

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Solution

The third proportional to 21,182.63 and 46,054.13 is: 100,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182.63 : 46,054.13 = 46,054.13 : x
  2. Step 2: Convert to fraction form
    21,182.63/46,054.13 = 46,054.13/x
  3. Step 3: Cross multiply
    21,182.63x = 46,054.13 × 46,054.13
  4. Step 4: Simplify right side
    21,182.63x = 2,120,982,429.52
  5. Step 5: Solve for x
    x = 2,120,982,429.52/21,182.63
  6. Step 6: Final answer
    x = 100,128.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.