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Finding the Third Proportional to 30,072 and 64,957

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Solution

The third proportional to 30,072 and 64,957 is: 140,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,072 : 64,957 = 64,957 : x
  2. Step 2: Convert to fraction form
    30,072/64,957 = 64,957/x
  3. Step 3: Cross multiply
    30,072x = 64,957 × 64,957
  4. Step 4: Simplify right side
    30,072x = 4,219,411,849
  5. Step 5: Solve for x
    x = 4,219,411,849/30,072
  6. Step 6: Final answer
    x = 140,310.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.