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Finding the Third Proportional to 25,098 and 36,953

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Solution

The third proportional to 25,098 and 36,953 is: 54,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098 : 36,953 = 36,953 : x
  2. Step 2: Convert to fraction form
    25,098/36,953 = 36,953/x
  3. Step 3: Cross multiply
    25,098x = 36,953 × 36,953
  4. Step 4: Simplify right side
    25,098x = 1,365,524,209
  5. Step 5: Solve for x
    x = 1,365,524,209/25,098
  6. Step 6: Final answer
    x = 54,407.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.