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Finding the Third Proportional to 28,528 and 41,928

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Solution

The third proportional to 28,528 and 41,928 is: 61,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,528 : 41,928 = 41,928 : x
  2. Step 2: Convert to fraction form
    28,528/41,928 = 41,928/x
  3. Step 3: Cross multiply
    28,528x = 41,928 × 41,928
  4. Step 4: Simplify right side
    28,528x = 1,757,957,184
  5. Step 5: Solve for x
    x = 1,757,957,184/28,528
  6. Step 6: Final answer
    x = 61,622.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.