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Finding the Third Proportional to 30,442.50 and 72,802.13

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Solution

The third proportional to 30,442.50 and 72,802.13 is: 174,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.50 : 72,802.13 = 72,802.13 : x
  2. Step 2: Convert to fraction form
    30,442.50/72,802.13 = 72,802.13/x
  3. Step 3: Cross multiply
    30,442.50x = 72,802.13 × 72,802.13
  4. Step 4: Simplify right side
    30,442.50x = 5,300,149,404.52
  5. Step 5: Solve for x
    x = 5,300,149,404.52/30,442.50
  6. Step 6: Final answer
    x = 174,103.62

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.