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Finding the Third Proportional to 10,957 and 17,801.50

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Solution

The third proportional to 10,957 and 17,801.50 is: 28,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957 : 17,801.50 = 17,801.50 : x
  2. Step 2: Convert to fraction form
    10,957/17,801.50 = 17,801.50/x
  3. Step 3: Cross multiply
    10,957x = 17,801.50 × 17,801.50
  4. Step 4: Simplify right side
    10,957x = 316,893,402.25
  5. Step 5: Solve for x
    x = 316,893,402.25/10,957
  6. Step 6: Final answer
    x = 28,921.55

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.