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Finding the Third Proportional to 12,133.13 and 14,320.13

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Solution

The third proportional to 12,133.13 and 14,320.13 is: 16,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.13 : 14,320.13 = 14,320.13 : x
  2. Step 2: Convert to fraction form
    12,133.13/14,320.13 = 14,320.13/x
  3. Step 3: Cross multiply
    12,133.13x = 14,320.13 × 14,320.13
  4. Step 4: Simplify right side
    12,133.13x = 205,065,980.02
  5. Step 5: Solve for x
    x = 205,065,980.02/12,133.13
  6. Step 6: Final answer
    x = 16,901.33

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.