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Finding the Third Proportional to 13,029.19 and 15,094.69

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Solution

The third proportional to 13,029.19 and 15,094.69 is: 17,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.19 : 15,094.69 = 15,094.69 : x
  2. Step 2: Convert to fraction form
    13,029.19/15,094.69 = 15,094.69/x
  3. Step 3: Cross multiply
    13,029.19x = 15,094.69 × 15,094.69
  4. Step 4: Simplify right side
    13,029.19x = 227,849,590.72
  5. Step 5: Solve for x
    x = 227,849,590.72/13,029.19
  6. Step 6: Final answer
    x = 17,487.63

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.