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Finding the Third Proportional to 19,848 and 29,008

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Solution

The third proportional to 19,848 and 29,008 is: 42,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,848 : 29,008 = 29,008 : x
  2. Step 2: Convert to fraction form
    19,848/29,008 = 29,008/x
  3. Step 3: Cross multiply
    19,848x = 29,008 × 29,008
  4. Step 4: Simplify right side
    19,848x = 841,464,064
  5. Step 5: Solve for x
    x = 841,464,064/19,848
  6. Step 6: Final answer
    x = 42,395.41

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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.