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Finding the Third Proportional to 29,444 and 69,461

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Solution

The third proportional to 29,444 and 69,461 is: 163,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,444 : 69,461 = 69,461 : x
  2. Step 2: Convert to fraction form
    29,444/69,461 = 69,461/x
  3. Step 3: Cross multiply
    29,444x = 69,461 × 69,461
  4. Step 4: Simplify right side
    29,444x = 4,824,830,521
  5. Step 5: Solve for x
    x = 4,824,830,521/29,444
  6. Step 6: Final answer
    x = 163,864.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.