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Finding the Third Proportional to 30,294 and 64,908

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Solution

The third proportional to 30,294 and 64,908 is: 139,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294 : 64,908 = 64,908 : x
  2. Step 2: Convert to fraction form
    30,294/64,908 = 64,908/x
  3. Step 3: Cross multiply
    30,294x = 64,908 × 64,908
  4. Step 4: Simplify right side
    30,294x = 4,213,048,464
  5. Step 5: Solve for x
    x = 4,213,048,464/30,294
  6. Step 6: Final answer
    x = 139,072.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.