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Finding the Third Proportional to 15,402 and 24,803

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Solution

The third proportional to 15,402 and 24,803 is: 39,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,402 : 24,803 = 24,803 : x
  2. Step 2: Convert to fraction form
    15,402/24,803 = 24,803/x
  3. Step 3: Cross multiply
    15,402x = 24,803 × 24,803
  4. Step 4: Simplify right side
    15,402x = 615,188,809
  5. Step 5: Solve for x
    x = 615,188,809/15,402
  6. Step 6: Final answer
    x = 39,942.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.