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Finding the Third Proportional to 30,270 and 64,710

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Solution

The third proportional to 30,270 and 64,710 is: 138,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,270 : 64,710 = 64,710 : x
  2. Step 2: Convert to fraction form
    30,270/64,710 = 64,710/x
  3. Step 3: Cross multiply
    30,270x = 64,710 × 64,710
  4. Step 4: Simplify right side
    30,270x = 4,187,384,100
  5. Step 5: Solve for x
    x = 4,187,384,100/30,270
  6. Step 6: Final answer
    x = 138,334.46

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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.