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Finding the Third Proportional to 21,752 and 46,960

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Solution

The third proportional to 21,752 and 46,960 is: 101,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,752 : 46,960 = 46,960 : x
  2. Step 2: Convert to fraction form
    21,752/46,960 = 46,960/x
  3. Step 3: Cross multiply
    21,752x = 46,960 × 46,960
  4. Step 4: Simplify right side
    21,752x = 2,205,241,600
  5. Step 5: Solve for x
    x = 2,205,241,600/21,752
  6. Step 6: Final answer
    x = 101,381.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.