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Finding the Third Proportional to 21,391 and 31,114.50

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Solution

The third proportional to 21,391 and 31,114.50 is: 45,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,391 : 31,114.50 = 31,114.50 : x
  2. Step 2: Convert to fraction form
    21,391/31,114.50 = 31,114.50/x
  3. Step 3: Cross multiply
    21,391x = 31,114.50 × 31,114.50
  4. Step 4: Simplify right side
    21,391x = 968,112,110.25
  5. Step 5: Solve for x
    x = 968,112,110.25/21,391
  6. Step 6: Final answer
    x = 45,257.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.