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Finding the Third Proportional to 29,196 and 63,324

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Solution

The third proportional to 29,196 and 63,324 is: 137,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,196 : 63,324 = 63,324 : x
  2. Step 2: Convert to fraction form
    29,196/63,324 = 63,324/x
  3. Step 3: Cross multiply
    29,196x = 63,324 × 63,324
  4. Step 4: Simplify right side
    29,196x = 4,009,928,976
  5. Step 5: Solve for x
    x = 4,009,928,976/29,196
  6. Step 6: Final answer
    x = 137,345.15

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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.