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Finding the Third Proportional to 24,310 and 31,065

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Solution

The third proportional to 24,310 and 31,065 is: 39,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310 : 31,065 = 31,065 : x
  2. Step 2: Convert to fraction form
    24,310/31,065 = 31,065/x
  3. Step 3: Cross multiply
    24,310x = 31,065 × 31,065
  4. Step 4: Simplify right side
    24,310x = 965,034,225
  5. Step 5: Solve for x
    x = 965,034,225/24,310
  6. Step 6: Final answer
    x = 39,697.01

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.