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Finding the Third Proportional to 29,915 and 64,783

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Solution

The third proportional to 29,915 and 64,783 is: 140,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,915 : 64,783 = 64,783 : x
  2. Step 2: Convert to fraction form
    29,915/64,783 = 64,783/x
  3. Step 3: Cross multiply
    29,915x = 64,783 × 64,783
  4. Step 4: Simplify right side
    29,915x = 4,196,837,089
  5. Step 5: Solve for x
    x = 4,196,837,089/29,915
  6. Step 6: Final answer
    x = 140,292.06

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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.