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Finding the Third Proportional to 7,392 and 13,584

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Solution

The third proportional to 7,392 and 13,584 is: 24,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392 : 13,584 = 13,584 : x
  2. Step 2: Convert to fraction form
    7,392/13,584 = 13,584/x
  3. Step 3: Cross multiply
    7,392x = 13,584 × 13,584
  4. Step 4: Simplify right side
    7,392x = 184,525,056
  5. Step 5: Solve for x
    x = 184,525,056/7,392
  6. Step 6: Final answer
    x = 24,962.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.