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Finding the Third Proportional to 29,924 and 46,466

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Solution

The third proportional to 29,924 and 46,466 is: 72,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,924 : 46,466 = 46,466 : x
  2. Step 2: Convert to fraction form
    29,924/46,466 = 46,466/x
  3. Step 3: Cross multiply
    29,924x = 46,466 × 46,466
  4. Step 4: Simplify right side
    29,924x = 2,159,089,156
  5. Step 5: Solve for x
    x = 2,159,089,156/29,924
  6. Step 6: Final answer
    x = 72,152.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.