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Finding the Third Proportional to 24,191 and 36,428

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Solution

The third proportional to 24,191 and 36,428 is: 54,855.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,191 : 36,428 = 36,428 : x
  2. Step 2: Convert to fraction form
    24,191/36,428 = 36,428/x
  3. Step 3: Cross multiply
    24,191x = 36,428 × 36,428
  4. Step 4: Simplify right side
    24,191x = 1,326,999,184
  5. Step 5: Solve for x
    x = 1,326,999,184/24,191
  6. Step 6: Final answer
    x = 54,855.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.