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Finding the Third Proportional to 28,546 and 40,572

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Solution

The third proportional to 28,546 and 40,572 is: 57,664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,546 : 40,572 = 40,572 : x
  2. Step 2: Convert to fraction form
    28,546/40,572 = 40,572/x
  3. Step 3: Cross multiply
    28,546x = 40,572 × 40,572
  4. Step 4: Simplify right side
    28,546x = 1,646,087,184
  5. Step 5: Solve for x
    x = 1,646,087,184/28,546
  6. Step 6: Final answer
    x = 57,664.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.