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Finding the Third Proportional to 14,564.81 and 23,355.84

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Solution

The third proportional to 14,564.81 and 23,355.84 is: 37,452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.81 : 23,355.84 = 23,355.84 : x
  2. Step 2: Convert to fraction form
    14,564.81/23,355.84 = 23,355.84/x
  3. Step 3: Cross multiply
    14,564.81x = 23,355.84 × 23,355.84
  4. Step 4: Simplify right side
    14,564.81x = 545,495,437.27
  5. Step 5: Solve for x
    x = 545,495,437.27/14,564.81
  6. Step 6: Final answer
    x = 37,452.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.