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Finding the Third Proportional to 18,963 and 26,041.50

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Solution

The third proportional to 18,963 and 26,041.50 is: 35,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,963 : 26,041.50 = 26,041.50 : x
  2. Step 2: Convert to fraction form
    18,963/26,041.50 = 26,041.50/x
  3. Step 3: Cross multiply
    18,963x = 26,041.50 × 26,041.50
  4. Step 4: Simplify right side
    18,963x = 678,159,722.25
  5. Step 5: Solve for x
    x = 678,159,722.25/18,963
  6. Step 6: Final answer
    x = 35,762.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.