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Finding the Third Proportional to 28,301 and 59,701

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Solution

The third proportional to 28,301 and 59,701 is: 125,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,301 : 59,701 = 59,701 : x
  2. Step 2: Convert to fraction form
    28,301/59,701 = 59,701/x
  3. Step 3: Cross multiply
    28,301x = 59,701 × 59,701
  4. Step 4: Simplify right side
    28,301x = 3,564,209,401
  5. Step 5: Solve for x
    x = 3,564,209,401/28,301
  6. Step 6: Final answer
    x = 125,939.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.