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Finding the Third Proportional to 25,987.50 and 56,403

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Solution

The third proportional to 25,987.50 and 56,403 is: 122,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,987.50 : 56,403 = 56,403 : x
  2. Step 2: Convert to fraction form
    25,987.50/56,403 = 56,403/x
  3. Step 3: Cross multiply
    25,987.50x = 56,403 × 56,403
  4. Step 4: Simplify right side
    25,987.50x = 3,181,298,409
  5. Step 5: Solve for x
    x = 3,181,298,409/25,987.50
  6. Step 6: Final answer
    x = 122,416.49

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