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Finding the Third Proportional to 37,515 and 52,762.50

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Solution

The third proportional to 37,515 and 52,762.50 is: 74,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,515 : 52,762.50 = 52,762.50 : x
  2. Step 2: Convert to fraction form
    37,515/52,762.50 = 52,762.50/x
  3. Step 3: Cross multiply
    37,515x = 52,762.50 × 52,762.50
  4. Step 4: Simplify right side
    37,515x = 2,783,881,406.25
  5. Step 5: Solve for x
    x = 2,783,881,406.25/37,515
  6. Step 6: Final answer
    x = 74,207.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.