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Finding the Third Proportional to 12,334 and 26,637.50

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Solution

The third proportional to 12,334 and 26,637.50 is: 57,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334 : 26,637.50 = 26,637.50 : x
  2. Step 2: Convert to fraction form
    12,334/26,637.50 = 26,637.50/x
  3. Step 3: Cross multiply
    12,334x = 26,637.50 × 26,637.50
  4. Step 4: Simplify right side
    12,334x = 709,556,406.25
  5. Step 5: Solve for x
    x = 709,556,406.25/12,334
  6. Step 6: Final answer
    x = 57,528.49

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