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Finding the Third Proportional to 28,572 and 42,830

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Solution

The third proportional to 28,572 and 42,830 is: 64,203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,572 : 42,830 = 42,830 : x
  2. Step 2: Convert to fraction form
    28,572/42,830 = 42,830/x
  3. Step 3: Cross multiply
    28,572x = 42,830 × 42,830
  4. Step 4: Simplify right side
    28,572x = 1,834,408,900
  5. Step 5: Solve for x
    x = 1,834,408,900/28,572
  6. Step 6: Final answer
    x = 64,203.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.