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Finding the Third Proportional to 34,938 and 54,482.25

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Solution

The third proportional to 34,938 and 54,482.25 is: 84,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,938 : 54,482.25 = 54,482.25 : x
  2. Step 2: Convert to fraction form
    34,938/54,482.25 = 54,482.25/x
  3. Step 3: Cross multiply
    34,938x = 54,482.25 × 54,482.25
  4. Step 4: Simplify right side
    34,938x = 2,968,315,565.06
  5. Step 5: Solve for x
    x = 2,968,315,565.06/34,938
  6. Step 6: Final answer
    x = 84,959.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.