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Finding the Third Proportional to 52,570.50 and 75,567

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Solution

The third proportional to 52,570.50 and 75,567 is: 108,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,570.50 : 75,567 = 75,567 : x
  2. Step 2: Convert to fraction form
    52,570.50/75,567 = 75,567/x
  3. Step 3: Cross multiply
    52,570.50x = 75,567 × 75,567
  4. Step 4: Simplify right side
    52,570.50x = 5,710,371,489
  5. Step 5: Solve for x
    x = 5,710,371,489/52,570.50
  6. Step 6: Final answer
    x = 108,623.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.