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Finding the Third Proportional to 37,210.75 and 56,157.75

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Solution

The third proportional to 37,210.75 and 56,157.75 is: 84,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,210.75 : 56,157.75 = 56,157.75 : x
  2. Step 2: Convert to fraction form
    37,210.75/56,157.75 = 56,157.75/x
  3. Step 3: Cross multiply
    37,210.75x = 56,157.75 × 56,157.75
  4. Step 4: Simplify right side
    37,210.75x = 3,153,692,885.06
  5. Step 5: Solve for x
    x = 3,153,692,885.06/37,210.75
  6. Step 6: Final answer
    x = 84,752.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.