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Finding the Third Proportional to 29,724 and 64,914

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Solution

The third proportional to 29,724 and 64,914 is: 141,765.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,724 : 64,914 = 64,914 : x
  2. Step 2: Convert to fraction form
    29,724/64,914 = 64,914/x
  3. Step 3: Cross multiply
    29,724x = 64,914 × 64,914
  4. Step 4: Simplify right side
    29,724x = 4,213,827,396
  5. Step 5: Solve for x
    x = 4,213,827,396/29,724
  6. Step 6: Final answer
    x = 141,765.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.