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Finding the Third Proportional to 29,146 and 63,482

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Solution

The third proportional to 29,146 and 63,482 is: 138,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,146 : 63,482 = 63,482 : x
  2. Step 2: Convert to fraction form
    29,146/63,482 = 63,482/x
  3. Step 3: Cross multiply
    29,146x = 63,482 × 63,482
  4. Step 4: Simplify right side
    29,146x = 4,029,964,324
  5. Step 5: Solve for x
    x = 4,029,964,324/29,146
  6. Step 6: Final answer
    x = 138,268.18

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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.