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Finding the Third Proportional to 9,752.63 and 14,697.56

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Solution

The third proportional to 9,752.63 and 14,697.56 is: 22,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.63 : 14,697.56 = 14,697.56 : x
  2. Step 2: Convert to fraction form
    9,752.63/14,697.56 = 14,697.56/x
  3. Step 3: Cross multiply
    9,752.63x = 14,697.56 × 14,697.56
  4. Step 4: Simplify right side
    9,752.63x = 216,018,343.44
  5. Step 5: Solve for x
    x = 216,018,343.44/9,752.63
  6. Step 6: Final answer
    x = 22,149.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.