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Finding the Third Proportional to 20,567 and 29,428

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Solution

The third proportional to 20,567 and 29,428 is: 42,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,567 : 29,428 = 29,428 : x
  2. Step 2: Convert to fraction form
    20,567/29,428 = 29,428/x
  3. Step 3: Cross multiply
    20,567x = 29,428 × 29,428
  4. Step 4: Simplify right side
    20,567x = 866,007,184
  5. Step 5: Solve for x
    x = 866,007,184/20,567
  6. Step 6: Final answer
    x = 42,106.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.