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Finding the Third Proportional to 5,605.88 and 13,214.53

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Solution

The third proportional to 5,605.88 and 13,214.53 is: 31,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.88 : 13,214.53 = 13,214.53 : x
  2. Step 2: Convert to fraction form
    5,605.88/13,214.53 = 13,214.53/x
  3. Step 3: Cross multiply
    5,605.88x = 13,214.53 × 13,214.53
  4. Step 4: Simplify right side
    5,605.88x = 174,623,836.16
  5. Step 5: Solve for x
    x = 174,623,836.16/5,605.88
  6. Step 6: Final answer
    x = 31,150.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.