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Finding the Third Proportional to 37,470 and 56,452.50

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Solution

The third proportional to 37,470 and 56,452.50 is: 85,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,470 : 56,452.50 = 56,452.50 : x
  2. Step 2: Convert to fraction form
    37,470/56,452.50 = 56,452.50/x
  3. Step 3: Cross multiply
    37,470x = 56,452.50 × 56,452.50
  4. Step 4: Simplify right side
    37,470x = 3,186,884,756.25
  5. Step 5: Solve for x
    x = 3,186,884,756.25/37,470
  6. Step 6: Final answer
    x = 85,051.63

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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.