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Finding the Third Proportional to 35,740 and 52,580

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Solution

The third proportional to 35,740 and 52,580 is: 77,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740 : 52,580 = 52,580 : x
  2. Step 2: Convert to fraction form
    35,740/52,580 = 52,580/x
  3. Step 3: Cross multiply
    35,740x = 52,580 × 52,580
  4. Step 4: Simplify right side
    35,740x = 2,764,656,400
  5. Step 5: Solve for x
    x = 2,764,656,400/35,740
  6. Step 6: Final answer
    x = 77,354.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.