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Finding the Third Proportional to 39,646.50 and 82,572

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Solution

The third proportional to 39,646.50 and 82,572 is: 171,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646.50 : 82,572 = 82,572 : x
  2. Step 2: Convert to fraction form
    39,646.50/82,572 = 82,572/x
  3. Step 3: Cross multiply
    39,646.50x = 82,572 × 82,572
  4. Step 4: Simplify right side
    39,646.50x = 6,818,135,184
  5. Step 5: Solve for x
    x = 6,818,135,184/39,646.50
  6. Step 6: Final answer
    x = 171,973.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.