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Finding the Third Proportional to 29,624 and 64,270

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Solution

The third proportional to 29,624 and 64,270 is: 139,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,624 : 64,270 = 64,270 : x
  2. Step 2: Convert to fraction form
    29,624/64,270 = 64,270/x
  3. Step 3: Cross multiply
    29,624x = 64,270 × 64,270
  4. Step 4: Simplify right side
    29,624x = 4,130,632,900
  5. Step 5: Solve for x
    x = 4,130,632,900/29,624
  6. Step 6: Final answer
    x = 139,435.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.