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Finding the Third Proportional to 35,740 and 78,486.50

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Solution

The third proportional to 35,740 and 78,486.50 is: 172,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740 : 78,486.50 = 78,486.50 : x
  2. Step 2: Convert to fraction form
    35,740/78,486.50 = 78,486.50/x
  3. Step 3: Cross multiply
    35,740x = 78,486.50 × 78,486.50
  4. Step 4: Simplify right side
    35,740x = 6,160,130,682.25
  5. Step 5: Solve for x
    x = 6,160,130,682.25/35,740
  6. Step 6: Final answer
    x = 172,359.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.