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Finding the Third Proportional to 38,070 and 56,926.13

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Solution

The third proportional to 38,070 and 56,926.13 is: 85,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,070 : 56,926.13 = 56,926.13 : x
  2. Step 2: Convert to fraction form
    38,070/56,926.13 = 56,926.13/x
  3. Step 3: Cross multiply
    38,070x = 56,926.13 × 56,926.13
  4. Step 4: Simplify right side
    38,070x = 3,240,583,707.52
  5. Step 5: Solve for x
    x = 3,240,583,707.52/38,070
  6. Step 6: Final answer
    x = 85,121.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.