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Finding the Third Proportional to 13,234.64 and 28,386.70

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Solution

The third proportional to 13,234.64 and 28,386.70 is: 60,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.64 : 28,386.70 = 28,386.70 : x
  2. Step 2: Convert to fraction form
    13,234.64/28,386.70 = 28,386.70/x
  3. Step 3: Cross multiply
    13,234.64x = 28,386.70 × 28,386.70
  4. Step 4: Simplify right side
    13,234.64x = 805,804,914.31
  5. Step 5: Solve for x
    x = 805,804,914.31/13,234.64
  6. Step 6: Final answer
    x = 60,886.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.