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Finding the Third Proportional to 13,989.13 and 30,048.81

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Solution

The third proportional to 13,989.13 and 30,048.81 is: 64,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989.13 : 30,048.81 = 30,048.81 : x
  2. Step 2: Convert to fraction form
    13,989.13/30,048.81 = 30,048.81/x
  3. Step 3: Cross multiply
    13,989.13x = 30,048.81 × 30,048.81
  4. Step 4: Simplify right side
    13,989.13x = 902,931,132.66
  5. Step 5: Solve for x
    x = 902,931,132.66/13,989.13
  6. Step 6: Final answer
    x = 64,545.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.