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Finding the Third Proportional to 34,440 and 72,984

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Solution

The third proportional to 34,440 and 72,984 is: 154,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,440 : 72,984 = 72,984 : x
  2. Step 2: Convert to fraction form
    34,440/72,984 = 72,984/x
  3. Step 3: Cross multiply
    34,440x = 72,984 × 72,984
  4. Step 4: Simplify right side
    34,440x = 5,326,664,256
  5. Step 5: Solve for x
    x = 5,326,664,256/34,440
  6. Step 6: Final answer
    x = 154,665.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.