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Finding the Third Proportional to 31,752 and 48,639

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Solution

The third proportional to 31,752 and 48,639 is: 74,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,752 : 48,639 = 48,639 : x
  2. Step 2: Convert to fraction form
    31,752/48,639 = 48,639/x
  3. Step 3: Cross multiply
    31,752x = 48,639 × 48,639
  4. Step 4: Simplify right side
    31,752x = 2,365,752,321
  5. Step 5: Solve for x
    x = 2,365,752,321/31,752
  6. Step 6: Final answer
    x = 74,507.19

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Why These Related Problems?

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