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Finding the Third Proportional to 29,854 and 44,364

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Solution

The third proportional to 29,854 and 44,364 is: 65,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854 : 44,364 = 44,364 : x
  2. Step 2: Convert to fraction form
    29,854/44,364 = 44,364/x
  3. Step 3: Cross multiply
    29,854x = 44,364 × 44,364
  4. Step 4: Simplify right side
    29,854x = 1,968,164,496
  5. Step 5: Solve for x
    x = 1,968,164,496/29,854
  6. Step 6: Final answer
    x = 65,926.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.