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Finding the Third Proportional to 29,523 and 31,953

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Solution

The third proportional to 29,523 and 31,953 is: 34,583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,523 : 31,953 = 31,953 : x
  2. Step 2: Convert to fraction form
    29,523/31,953 = 31,953/x
  3. Step 3: Cross multiply
    29,523x = 31,953 × 31,953
  4. Step 4: Simplify right side
    29,523x = 1,020,994,209
  5. Step 5: Solve for x
    x = 1,020,994,209/29,523
  6. Step 6: Final answer
    x = 34,583.01

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.