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Finding the Third Proportional to 8,965.13 and 13,386.94

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Solution

The third proportional to 8,965.13 and 13,386.94 is: 19,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.13 : 13,386.94 = 13,386.94 : x
  2. Step 2: Convert to fraction form
    8,965.13/13,386.94 = 13,386.94/x
  3. Step 3: Cross multiply
    8,965.13x = 13,386.94 × 13,386.94
  4. Step 4: Simplify right side
    8,965.13x = 179,210,095.63
  5. Step 5: Solve for x
    x = 179,210,095.63/8,965.13
  6. Step 6: Final answer
    x = 19,989.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.