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Finding the Third Proportional to 24,980.71 and 32,409.89

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Solution

The third proportional to 24,980.71 and 32,409.89 is: 42,048.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,980.71 : 32,409.89 = 32,409.89 : x
  2. Step 2: Convert to fraction form
    24,980.71/32,409.89 = 32,409.89/x
  3. Step 3: Cross multiply
    24,980.71x = 32,409.89 × 32,409.89
  4. Step 4: Simplify right side
    24,980.71x = 1,050,400,820.42
  5. Step 5: Solve for x
    x = 1,050,400,820.42/24,980.71
  6. Step 6: Final answer
    x = 42,048.48

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.