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Finding the Third Proportional to 29,658 and 64,444

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Solution

The third proportional to 29,658 and 64,444 is: 140,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658 : 64,444 = 64,444 : x
  2. Step 2: Convert to fraction form
    29,658/64,444 = 64,444/x
  3. Step 3: Cross multiply
    29,658x = 64,444 × 64,444
  4. Step 4: Simplify right side
    29,658x = 4,153,029,136
  5. Step 5: Solve for x
    x = 4,153,029,136/29,658
  6. Step 6: Final answer
    x = 140,030.65

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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.