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Finding the Third Proportional to 38,570 and 83,572

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Solution

The third proportional to 38,570 and 83,572 is: 181,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,570 : 83,572 = 83,572 : x
  2. Step 2: Convert to fraction form
    38,570/83,572 = 83,572/x
  3. Step 3: Cross multiply
    38,570x = 83,572 × 83,572
  4. Step 4: Simplify right side
    38,570x = 6,984,279,184
  5. Step 5: Solve for x
    x = 6,984,279,184/38,570
  6. Step 6: Final answer
    x = 181,080.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.