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Finding the Third Proportional to 10,354 and 22,507

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Solution

The third proportional to 10,354 and 22,507 is: 48,924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354 : 22,507 = 22,507 : x
  2. Step 2: Convert to fraction form
    10,354/22,507 = 22,507/x
  3. Step 3: Cross multiply
    10,354x = 22,507 × 22,507
  4. Step 4: Simplify right side
    10,354x = 506,565,049
  5. Step 5: Solve for x
    x = 506,565,049/10,354
  6. Step 6: Final answer
    x = 48,924.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.