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Finding the Third Proportional to 26,007 and 41,386.50

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Solution

The third proportional to 26,007 and 41,386.50 is: 65,860.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,007 : 41,386.50 = 41,386.50 : x
  2. Step 2: Convert to fraction form
    26,007/41,386.50 = 41,386.50/x
  3. Step 3: Cross multiply
    26,007x = 41,386.50 × 41,386.50
  4. Step 4: Simplify right side
    26,007x = 1,712,842,382.25
  5. Step 5: Solve for x
    x = 1,712,842,382.25/26,007
  6. Step 6: Final answer
    x = 65,860.82

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Why These Related Problems?

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