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Finding the Third Proportional to 52,836 and 71,962.50

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Solution

The third proportional to 52,836 and 71,962.50 is: 98,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,836 : 71,962.50 = 71,962.50 : x
  2. Step 2: Convert to fraction form
    52,836/71,962.50 = 71,962.50/x
  3. Step 3: Cross multiply
    52,836x = 71,962.50 × 71,962.50
  4. Step 4: Simplify right side
    52,836x = 5,178,601,406.25
  5. Step 5: Solve for x
    x = 5,178,601,406.25/52,836
  6. Step 6: Final answer
    x = 98,012.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.