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Finding the Third Proportional to 32,572 and 51,772

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Solution

The third proportional to 32,572 and 51,772 is: 82,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,572 : 51,772 = 51,772 : x
  2. Step 2: Convert to fraction form
    32,572/51,772 = 51,772/x
  3. Step 3: Cross multiply
    32,572x = 51,772 × 51,772
  4. Step 4: Simplify right side
    32,572x = 2,680,339,984
  5. Step 5: Solve for x
    x = 2,680,339,984/32,572
  6. Step 6: Final answer
    x = 82,289.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.