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Finding the Third Proportional to 29,838 and 64,346

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Solution

The third proportional to 29,838 and 64,346 is: 138,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838 : 64,346 = 64,346 : x
  2. Step 2: Convert to fraction form
    29,838/64,346 = 64,346/x
  3. Step 3: Cross multiply
    29,838x = 64,346 × 64,346
  4. Step 4: Simplify right side
    29,838x = 4,140,407,716
  5. Step 5: Solve for x
    x = 4,140,407,716/29,838
  6. Step 6: Final answer
    x = 138,762.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.