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Finding the Third Proportional to 28,992 and 42,464

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Solution

The third proportional to 28,992 and 42,464 is: 62,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,992 : 42,464 = 42,464 : x
  2. Step 2: Convert to fraction form
    28,992/42,464 = 42,464/x
  3. Step 3: Cross multiply
    28,992x = 42,464 × 42,464
  4. Step 4: Simplify right side
    28,992x = 1,803,191,296
  5. Step 5: Solve for x
    x = 1,803,191,296/28,992
  6. Step 6: Final answer
    x = 62,196.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.