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Finding the Third Proportional to 25,681.50 and 55,575

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Solution

The third proportional to 25,681.50 and 55,575 is: 120,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,681.50 : 55,575 = 55,575 : x
  2. Step 2: Convert to fraction form
    25,681.50/55,575 = 55,575/x
  3. Step 3: Cross multiply
    25,681.50x = 55,575 × 55,575
  4. Step 4: Simplify right side
    25,681.50x = 3,088,580,625
  5. Step 5: Solve for x
    x = 3,088,580,625/25,681.50
  6. Step 6: Final answer
    x = 120,264.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.