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Finding the Third Proportional to 21,283 and 33,684.50

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Solution

The third proportional to 21,283 and 33,684.50 is: 53,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,283 : 33,684.50 = 33,684.50 : x
  2. Step 2: Convert to fraction form
    21,283/33,684.50 = 33,684.50/x
  3. Step 3: Cross multiply
    21,283x = 33,684.50 × 33,684.50
  4. Step 4: Simplify right side
    21,283x = 1,134,645,540.25
  5. Step 5: Solve for x
    x = 1,134,645,540.25/21,283
  6. Step 6: Final answer
    x = 53,312.29

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.