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Finding the Third Proportional to 9,572.40 and 14,300.93

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Solution

The third proportional to 9,572.40 and 14,300.93 is: 21,365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.40 : 14,300.93 = 14,300.93 : x
  2. Step 2: Convert to fraction form
    9,572.40/14,300.93 = 14,300.93/x
  3. Step 3: Cross multiply
    9,572.40x = 14,300.93 × 14,300.93
  4. Step 4: Simplify right side
    9,572.40x = 204,516,589.93
  5. Step 5: Solve for x
    x = 204,516,589.93/9,572.40
  6. Step 6: Final answer
    x = 21,365.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.