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Finding the Third Proportional to 37,565.86 and 58,502.88

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Solution

The third proportional to 37,565.86 and 58,502.88 is: 91,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,565.86 : 58,502.88 = 58,502.88 : x
  2. Step 2: Convert to fraction form
    37,565.86/58,502.88 = 58,502.88/x
  3. Step 3: Cross multiply
    37,565.86x = 58,502.88 × 58,502.88
  4. Step 4: Simplify right side
    37,565.86x = 3,422,587,297.37
  5. Step 5: Solve for x
    x = 3,422,587,297.37/37,565.86
  6. Step 6: Final answer
    x = 91,108.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.