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Finding the Third Proportional to 28,925 and 63,141

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Solution

The third proportional to 28,925 and 63,141 is: 137,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,925 : 63,141 = 63,141 : x
  2. Step 2: Convert to fraction form
    28,925/63,141 = 63,141/x
  3. Step 3: Cross multiply
    28,925x = 63,141 × 63,141
  4. Step 4: Simplify right side
    28,925x = 3,986,785,881
  5. Step 5: Solve for x
    x = 3,986,785,881/28,925
  6. Step 6: Final answer
    x = 137,831.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.