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Finding the Third Proportional to 25,440 and 56,320

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Solution

The third proportional to 25,440 and 56,320 is: 124,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,440 : 56,320 = 56,320 : x
  2. Step 2: Convert to fraction form
    25,440/56,320 = 56,320/x
  3. Step 3: Cross multiply
    25,440x = 56,320 × 56,320
  4. Step 4: Simplify right side
    25,440x = 3,171,942,400
  5. Step 5: Solve for x
    x = 3,171,942,400/25,440
  6. Step 6: Final answer
    x = 124,683.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.