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Finding the Third Proportional to 14,575.13 and 23,246.63

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Solution

The third proportional to 14,575.13 and 23,246.63 is: 37,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.13 : 23,246.63 = 23,246.63 : x
  2. Step 2: Convert to fraction form
    14,575.13/23,246.63 = 23,246.63/x
  3. Step 3: Cross multiply
    14,575.13x = 23,246.63 × 23,246.63
  4. Step 4: Simplify right side
    14,575.13x = 540,405,573.89
  5. Step 5: Solve for x
    x = 540,405,573.89/14,575.13
  6. Step 6: Final answer
    x = 37,077.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.