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Finding the Third Proportional to 28,570 and 58,532

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Solution

The third proportional to 28,570 and 58,532 is: 119,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,570 : 58,532 = 58,532 : x
  2. Step 2: Convert to fraction form
    28,570/58,532 = 58,532/x
  3. Step 3: Cross multiply
    28,570x = 58,532 × 58,532
  4. Step 4: Simplify right side
    28,570x = 3,425,995,024
  5. Step 5: Solve for x
    x = 3,425,995,024/28,570
  6. Step 6: Final answer
    x = 119,915.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.