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Finding the Third Proportional to 25,565.63 and 52,403.63

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Solution

The third proportional to 25,565.63 and 52,403.63 is: 107,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,565.63 : 52,403.63 = 52,403.63 : x
  2. Step 2: Convert to fraction form
    25,565.63/52,403.63 = 52,403.63/x
  3. Step 3: Cross multiply
    25,565.63x = 52,403.63 × 52,403.63
  4. Step 4: Simplify right side
    25,565.63x = 2,746,139,913.14
  5. Step 5: Solve for x
    x = 2,746,139,913.14/25,565.63
  6. Step 6: Final answer
    x = 107,415.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.