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Finding the Third Proportional to 31,420.50 and 65,026.50

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Solution

The third proportional to 31,420.50 and 65,026.50 is: 134,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.50 : 65,026.50 = 65,026.50 : x
  2. Step 2: Convert to fraction form
    31,420.50/65,026.50 = 65,026.50/x
  3. Step 3: Cross multiply
    31,420.50x = 65,026.50 × 65,026.50
  4. Step 4: Simplify right side
    31,420.50x = 4,228,445,702.25
  5. Step 5: Solve for x
    x = 4,228,445,702.25/31,420.50
  6. Step 6: Final answer
    x = 134,576.02

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.