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Finding the Third Proportional to 38,984 and 59,440

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Solution

The third proportional to 38,984 and 59,440 is: 90,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,984 : 59,440 = 59,440 : x
  2. Step 2: Convert to fraction form
    38,984/59,440 = 59,440/x
  3. Step 3: Cross multiply
    38,984x = 59,440 × 59,440
  4. Step 4: Simplify right side
    38,984x = 3,533,113,600
  5. Step 5: Solve for x
    x = 3,533,113,600/38,984
  6. Step 6: Final answer
    x = 90,629.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.