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Finding the Third Proportional to 4,570 and 10,559

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Solution

The third proportional to 4,570 and 10,559 is: 24,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570 : 10,559 = 10,559 : x
  2. Step 2: Convert to fraction form
    4,570/10,559 = 10,559/x
  3. Step 3: Cross multiply
    4,570x = 10,559 × 10,559
  4. Step 4: Simplify right side
    4,570x = 111,492,481
  5. Step 5: Solve for x
    x = 111,492,481/4,570
  6. Step 6: Final answer
    x = 24,396.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.