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Finding the Third Proportional to 14,400 and 31,248

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Solution

The third proportional to 14,400 and 31,248 is: 67,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400 : 31,248 = 31,248 : x
  2. Step 2: Convert to fraction form
    14,400/31,248 = 31,248/x
  3. Step 3: Cross multiply
    14,400x = 31,248 × 31,248
  4. Step 4: Simplify right side
    14,400x = 976,437,504
  5. Step 5: Solve for x
    x = 976,437,504/14,400
  6. Step 6: Final answer
    x = 67,808.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.