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Finding the Third Proportional to 17,929 and 26,317.50

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Solution

The third proportional to 17,929 and 26,317.50 is: 38,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,929 : 26,317.50 = 26,317.50 : x
  2. Step 2: Convert to fraction form
    17,929/26,317.50 = 26,317.50/x
  3. Step 3: Cross multiply
    17,929x = 26,317.50 × 26,317.50
  4. Step 4: Simplify right side
    17,929x = 692,610,806.25
  5. Step 5: Solve for x
    x = 692,610,806.25/17,929
  6. Step 6: Final answer
    x = 38,630.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.