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Finding the Third Proportional to 19,752 and 30,468

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Solution

The third proportional to 19,752 and 30,468 is: 46,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752 : 30,468 = 30,468 : x
  2. Step 2: Convert to fraction form
    19,752/30,468 = 30,468/x
  3. Step 3: Cross multiply
    19,752x = 30,468 × 30,468
  4. Step 4: Simplify right side
    19,752x = 928,299,024
  5. Step 5: Solve for x
    x = 928,299,024/19,752
  6. Step 6: Final answer
    x = 46,997.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.