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Finding the Third Proportional to 10,904.63 and 24,064.59

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Solution

The third proportional to 10,904.63 and 24,064.59 is: 53,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.63 : 24,064.59 = 24,064.59 : x
  2. Step 2: Convert to fraction form
    10,904.63/24,064.59 = 24,064.59/x
  3. Step 3: Cross multiply
    10,904.63x = 24,064.59 × 24,064.59
  4. Step 4: Simplify right side
    10,904.63x = 579,104,672.35
  5. Step 5: Solve for x
    x = 579,104,672.35/10,904.63
  6. Step 6: Final answer
    x = 53,106.34

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.