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Finding the Third Proportional to 38,707.66 and 56,567.74

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Solution

The third proportional to 38,707.66 and 56,567.74 is: 82,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,707.66 : 56,567.74 = 56,567.74 : x
  2. Step 2: Convert to fraction form
    38,707.66/56,567.74 = 56,567.74/x
  3. Step 3: Cross multiply
    38,707.66x = 56,567.74 × 56,567.74
  4. Step 4: Simplify right side
    38,707.66x = 3,199,909,456.19
  5. Step 5: Solve for x
    x = 3,199,909,456.19/38,707.66
  6. Step 6: Final answer
    x = 82,668.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.