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Finding the Third Proportional to 9,689.63 and 15,134.34

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Solution

The third proportional to 9,689.63 and 15,134.34 is: 23,638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.63 : 15,134.34 = 15,134.34 : x
  2. Step 2: Convert to fraction form
    9,689.63/15,134.34 = 15,134.34/x
  3. Step 3: Cross multiply
    9,689.63x = 15,134.34 × 15,134.34
  4. Step 4: Simplify right side
    9,689.63x = 229,048,360.74
  5. Step 5: Solve for x
    x = 229,048,360.74/9,689.63
  6. Step 6: Final answer
    x = 23,638.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.