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Finding the Third Proportional to 29,462 and 63,594

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Solution

The third proportional to 29,462 and 63,594 is: 137,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,462 : 63,594 = 63,594 : x
  2. Step 2: Convert to fraction form
    29,462/63,594 = 63,594/x
  3. Step 3: Cross multiply
    29,462x = 63,594 × 63,594
  4. Step 4: Simplify right side
    29,462x = 4,044,196,836
  5. Step 5: Solve for x
    x = 4,044,196,836/29,462
  6. Step 6: Final answer
    x = 137,268.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.