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Finding the Third Proportional to 37,902.50 and 59,280

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Solution

The third proportional to 37,902.50 and 59,280 is: 92,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,902.50 : 59,280 = 59,280 : x
  2. Step 2: Convert to fraction form
    37,902.50/59,280 = 59,280/x
  3. Step 3: Cross multiply
    37,902.50x = 59,280 × 59,280
  4. Step 4: Simplify right side
    37,902.50x = 3,514,118,400
  5. Step 5: Solve for x
    x = 3,514,118,400/37,902.50
  6. Step 6: Final answer
    x = 92,714.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.