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Finding the Third Proportional to 9,281.46 and 14,378.77

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Solution

The third proportional to 9,281.46 and 14,378.77 is: 22,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.46 : 14,378.77 = 14,378.77 : x
  2. Step 2: Convert to fraction form
    9,281.46/14,378.77 = 14,378.77/x
  3. Step 3: Cross multiply
    9,281.46x = 14,378.77 × 14,378.77
  4. Step 4: Simplify right side
    9,281.46x = 206,748,900.90
  5. Step 5: Solve for x
    x = 206,748,900.90/9,281.46
  6. Step 6: Final answer
    x = 22,275.47

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