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Finding the Third Proportional to 37,126.13 and 60,948

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Solution

The third proportional to 37,126.13 and 60,948 is: 100,055.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,126.13 : 60,948 = 60,948 : x
  2. Step 2: Convert to fraction form
    37,126.13/60,948 = 60,948/x
  3. Step 3: Cross multiply
    37,126.13x = 60,948 × 60,948
  4. Step 4: Simplify right side
    37,126.13x = 3,714,658,704
  5. Step 5: Solve for x
    x = 3,714,658,704/37,126.13
  6. Step 6: Final answer
    x = 100,055.11

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.