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Finding the Third Proportional to 31,009.50 and 49,284

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Solution

The third proportional to 31,009.50 and 49,284 is: 78,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.50 : 49,284 = 49,284 : x
  2. Step 2: Convert to fraction form
    31,009.50/49,284 = 49,284/x
  3. Step 3: Cross multiply
    31,009.50x = 49,284 × 49,284
  4. Step 4: Simplify right side
    31,009.50x = 2,428,912,656
  5. Step 5: Solve for x
    x = 2,428,912,656/31,009.50
  6. Step 6: Final answer
    x = 78,328.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.