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Finding the Third Proportional to 10,643.63 and 23,128.88

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Solution

The third proportional to 10,643.63 and 23,128.88 is: 50,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.63 : 23,128.88 = 23,128.88 : x
  2. Step 2: Convert to fraction form
    10,643.63/23,128.88 = 23,128.88/x
  3. Step 3: Cross multiply
    10,643.63x = 23,128.88 × 23,128.88
  4. Step 4: Simplify right side
    10,643.63x = 534,944,858.77
  5. Step 5: Solve for x
    x = 534,944,858.77/10,643.63
  6. Step 6: Final answer
    x = 50,259.65

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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.