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Finding the Third Proportional to 13,465.13 and 28,387.13

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Solution

The third proportional to 13,465.13 and 28,387.13 is: 59,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.13 : 28,387.13 = 28,387.13 : x
  2. Step 2: Convert to fraction form
    13,465.13/28,387.13 = 28,387.13/x
  3. Step 3: Cross multiply
    13,465.13x = 28,387.13 × 28,387.13
  4. Step 4: Simplify right side
    13,465.13x = 805,828,865.77
  5. Step 5: Solve for x
    x = 805,828,865.77/13,465.13
  6. Step 6: Final answer
    x = 59,845.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.