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Finding the Third Proportional to 24,260 and 34,365

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Solution

The third proportional to 24,260 and 34,365 is: 48,679.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,260 : 34,365 = 34,365 : x
  2. Step 2: Convert to fraction form
    24,260/34,365 = 34,365/x
  3. Step 3: Cross multiply
    24,260x = 34,365 × 34,365
  4. Step 4: Simplify right side
    24,260x = 1,180,953,225
  5. Step 5: Solve for x
    x = 1,180,953,225/24,260
  6. Step 6: Final answer
    x = 48,679.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.