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Finding the Third Proportional to 27,250 and 59,528

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Solution

The third proportional to 27,250 and 59,528 is: 130,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,250 : 59,528 = 59,528 : x
  2. Step 2: Convert to fraction form
    27,250/59,528 = 59,528/x
  3. Step 3: Cross multiply
    27,250x = 59,528 × 59,528
  4. Step 4: Simplify right side
    27,250x = 3,543,582,784
  5. Step 5: Solve for x
    x = 3,543,582,784/27,250
  6. Step 6: Final answer
    x = 130,039.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.