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Finding the Third Proportional to 30,541 and 64,363

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Solution

The third proportional to 30,541 and 64,363 is: 135,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541 : 64,363 = 64,363 : x
  2. Step 2: Convert to fraction form
    30,541/64,363 = 64,363/x
  3. Step 3: Cross multiply
    30,541x = 64,363 × 64,363
  4. Step 4: Simplify right side
    30,541x = 4,142,595,769
  5. Step 5: Solve for x
    x = 4,142,595,769/30,541
  6. Step 6: Final answer
    x = 135,640.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.