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Finding the Third Proportional to 23,841.38 and 51,779.63

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Solution

The third proportional to 23,841.38 and 51,779.63 is: 112,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.38 : 51,779.63 = 51,779.63 : x
  2. Step 2: Convert to fraction form
    23,841.38/51,779.63 = 51,779.63/x
  3. Step 3: Cross multiply
    23,841.38x = 51,779.63 × 51,779.63
  4. Step 4: Simplify right side
    23,841.38x = 2,681,129,565.14
  5. Step 5: Solve for x
    x = 2,681,129,565.14/23,841.38
  6. Step 6: Final answer
    x = 112,457.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.