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Finding the Third Proportional to 21,784.57 and 47,715.33

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Solution

The third proportional to 21,784.57 and 47,715.33 is: 104,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784.57 : 47,715.33 = 47,715.33 : x
  2. Step 2: Convert to fraction form
    21,784.57/47,715.33 = 47,715.33/x
  3. Step 3: Cross multiply
    21,784.57x = 47,715.33 × 47,715.33
  4. Step 4: Simplify right side
    21,784.57x = 2,276,752,538.08
  5. Step 5: Solve for x
    x = 2,276,752,538.08/21,784.57
  6. Step 6: Final answer
    x = 104,512.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.