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Finding the Third Proportional to 9,417.52 and 14,247.77

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Solution

The third proportional to 9,417.52 and 14,247.77 is: 21,555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.52 : 14,247.77 = 14,247.77 : x
  2. Step 2: Convert to fraction form
    9,417.52/14,247.77 = 14,247.77/x
  3. Step 3: Cross multiply
    9,417.52x = 14,247.77 × 14,247.77
  4. Step 4: Simplify right side
    9,417.52x = 202,999,047.93
  5. Step 5: Solve for x
    x = 202,999,047.93/9,417.52
  6. Step 6: Final answer
    x = 21,555.48

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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.