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Finding the Third Proportional to 13,565.50 and 29,077.81

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Solution

The third proportional to 13,565.50 and 29,077.81 is: 62,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.50 : 29,077.81 = 29,077.81 : x
  2. Step 2: Convert to fraction form
    13,565.50/29,077.81 = 29,077.81/x
  3. Step 3: Cross multiply
    13,565.50x = 29,077.81 × 29,077.81
  4. Step 4: Simplify right side
    13,565.50x = 845,519,179.79
  5. Step 5: Solve for x
    x = 845,519,179.79/13,565.50
  6. Step 6: Final answer
    x = 62,328.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.