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Finding the Third Proportional to 25,113 and 30,729

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Solution

The third proportional to 25,113 and 30,729 is: 37,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,113 : 30,729 = 30,729 : x
  2. Step 2: Convert to fraction form
    25,113/30,729 = 30,729/x
  3. Step 3: Cross multiply
    25,113x = 30,729 × 30,729
  4. Step 4: Simplify right side
    25,113x = 944,271,441
  5. Step 5: Solve for x
    x = 944,271,441/25,113
  6. Step 6: Final answer
    x = 37,600.90

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.