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Finding the Third Proportional to 25,980.75 and 56,332.13

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Solution

The third proportional to 25,980.75 and 56,332.13 is: 122,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980.75 : 56,332.13 = 56,332.13 : x
  2. Step 2: Convert to fraction form
    25,980.75/56,332.13 = 56,332.13/x
  3. Step 3: Cross multiply
    25,980.75x = 56,332.13 × 56,332.13
  4. Step 4: Simplify right side
    25,980.75x = 3,173,308,307.02
  5. Step 5: Solve for x
    x = 3,173,308,307.02/25,980.75
  6. Step 6: Final answer
    x = 122,140.75

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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.