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Finding the Third Proportional to 15,374 and 23,507

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Solution

The third proportional to 15,374 and 23,507 is: 35,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,374 : 23,507 = 23,507 : x
  2. Step 2: Convert to fraction form
    15,374/23,507 = 23,507/x
  3. Step 3: Cross multiply
    15,374x = 23,507 × 23,507
  4. Step 4: Simplify right side
    15,374x = 552,579,049
  5. Step 5: Solve for x
    x = 552,579,049/15,374
  6. Step 6: Final answer
    x = 35,942.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.