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Finding the Third Proportional to 26,442 and 38,929.50

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Solution

The third proportional to 26,442 and 38,929.50 is: 57,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,442 : 38,929.50 = 38,929.50 : x
  2. Step 2: Convert to fraction form
    26,442/38,929.50 = 38,929.50/x
  3. Step 3: Cross multiply
    26,442x = 38,929.50 × 38,929.50
  4. Step 4: Simplify right side
    26,442x = 1,515,505,970.25
  5. Step 5: Solve for x
    x = 1,515,505,970.25/26,442
  6. Step 6: Final answer
    x = 57,314.35

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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.