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Finding the Third Proportional to 26,001 and 39,973.50

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Solution

The third proportional to 26,001 and 39,973.50 is: 61,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,001 : 39,973.50 = 39,973.50 : x
  2. Step 2: Convert to fraction form
    26,001/39,973.50 = 39,973.50/x
  3. Step 3: Cross multiply
    26,001x = 39,973.50 × 39,973.50
  4. Step 4: Simplify right side
    26,001x = 1,597,880,702.25
  5. Step 5: Solve for x
    x = 1,597,880,702.25/26,001
  6. Step 6: Final answer
    x = 61,454.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.