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Finding the Third Proportional to 30,752 and 47,008

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Solution

The third proportional to 30,752 and 47,008 is: 71,857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,752 : 47,008 = 47,008 : x
  2. Step 2: Convert to fraction form
    30,752/47,008 = 47,008/x
  3. Step 3: Cross multiply
    30,752x = 47,008 × 47,008
  4. Step 4: Simplify right side
    30,752x = 2,209,752,064
  5. Step 5: Solve for x
    x = 2,209,752,064/30,752
  6. Step 6: Final answer
    x = 71,857.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.