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Finding the Third Proportional to 37,386.56 and 57,465.56

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Solution

The third proportional to 37,386.56 and 57,465.56 is: 88,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,386.56 : 57,465.56 = 57,465.56 : x
  2. Step 2: Convert to fraction form
    37,386.56/57,465.56 = 57,465.56/x
  3. Step 3: Cross multiply
    37,386.56x = 57,465.56 × 57,465.56
  4. Step 4: Simplify right side
    37,386.56x = 3,302,290,873.44
  5. Step 5: Solve for x
    x = 3,302,290,873.44/37,386.56
  6. Step 6: Final answer
    x = 88,328.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.