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Finding the Third Proportional to 25,970.63 and 56,884.78

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Solution

The third proportional to 25,970.63 and 56,884.78 is: 124,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,970.63 : 56,884.78 = 56,884.78 : x
  2. Step 2: Convert to fraction form
    25,970.63/56,884.78 = 56,884.78/x
  3. Step 3: Cross multiply
    25,970.63x = 56,884.78 × 56,884.78
  4. Step 4: Simplify right side
    25,970.63x = 3,235,878,337.86
  5. Step 5: Solve for x
    x = 3,235,878,337.86/25,970.63
  6. Step 6: Final answer
    x = 124,597.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.