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Finding the Third Proportional to 13,128.19 and 28,807.31

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Solution

The third proportional to 13,128.19 and 28,807.31 is: 63,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,128.19 : 28,807.31 = 28,807.31 : x
  2. Step 2: Convert to fraction form
    13,128.19/28,807.31 = 28,807.31/x
  3. Step 3: Cross multiply
    13,128.19x = 28,807.31 × 28,807.31
  4. Step 4: Simplify right side
    13,128.19x = 829,861,253.47
  5. Step 5: Solve for x
    x = 829,861,253.47/13,128.19
  6. Step 6: Final answer
    x = 63,212.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.