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Finding the Third Proportional to 26,001 and 38,827.50

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Solution

The third proportional to 26,001 and 38,827.50 is: 57,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,001 : 38,827.50 = 38,827.50 : x
  2. Step 2: Convert to fraction form
    26,001/38,827.50 = 38,827.50/x
  3. Step 3: Cross multiply
    26,001x = 38,827.50 × 38,827.50
  4. Step 4: Simplify right side
    26,001x = 1,507,574,756.25
  5. Step 5: Solve for x
    x = 1,507,574,756.25/26,001
  6. Step 6: Final answer
    x = 57,981.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.