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Finding the Third Proportional to 5,630.13 and 13,032.35

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Solution

The third proportional to 5,630.13 and 13,032.35 is: 30,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.13 : 13,032.35 = 13,032.35 : x
  2. Step 2: Convert to fraction form
    5,630.13/13,032.35 = 13,032.35/x
  3. Step 3: Cross multiply
    5,630.13x = 13,032.35 × 13,032.35
  4. Step 4: Simplify right side
    5,630.13x = 169,842,187.25
  5. Step 5: Solve for x
    x = 169,842,187.25/5,630.13
  6. Step 6: Final answer
    x = 30,166.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.