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Finding the Third Proportional to 25,922 and 55,528

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Solution

The third proportional to 25,922 and 55,528 is: 118,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,922 : 55,528 = 55,528 : x
  2. Step 2: Convert to fraction form
    25,922/55,528 = 55,528/x
  3. Step 3: Cross multiply
    25,922x = 55,528 × 55,528
  4. Step 4: Simplify right side
    25,922x = 3,083,358,784
  5. Step 5: Solve for x
    x = 3,083,358,784/25,922
  6. Step 6: Final answer
    x = 118,947.57

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.