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Finding the Third Proportional to 9,262.48 and 14,368.32

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Solution

The third proportional to 9,262.48 and 14,368.32 is: 22,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.48 : 14,368.32 = 14,368.32 : x
  2. Step 2: Convert to fraction form
    9,262.48/14,368.32 = 14,368.32/x
  3. Step 3: Cross multiply
    9,262.48x = 14,368.32 × 14,368.32
  4. Step 4: Simplify right side
    9,262.48x = 206,448,740.86
  5. Step 5: Solve for x
    x = 206,448,740.86/9,262.48
  6. Step 6: Final answer
    x = 22,288.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.