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Finding the Third Proportional to 25,221 and 59,727.50

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Solution

The third proportional to 25,221 and 59,727.50 is: 141,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,221 : 59,727.50 = 59,727.50 : x
  2. Step 2: Convert to fraction form
    25,221/59,727.50 = 59,727.50/x
  3. Step 3: Cross multiply
    25,221x = 59,727.50 × 59,727.50
  4. Step 4: Simplify right side
    25,221x = 3,567,374,256.25
  5. Step 5: Solve for x
    x = 3,567,374,256.25/25,221
  6. Step 6: Final answer
    x = 141,444.60

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.