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Finding the Third Proportional to 29,384 and 43,308

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Solution

The third proportional to 29,384 and 43,308 is: 63,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,384 : 43,308 = 43,308 : x
  2. Step 2: Convert to fraction form
    29,384/43,308 = 43,308/x
  3. Step 3: Cross multiply
    29,384x = 43,308 × 43,308
  4. Step 4: Simplify right side
    29,384x = 1,875,582,864
  5. Step 5: Solve for x
    x = 1,875,582,864/29,384
  6. Step 6: Final answer
    x = 63,830.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.