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Finding the Third Proportional to 26,528 and 35,360

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Solution

The third proportional to 26,528 and 35,360 is: 47,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,528 : 35,360 = 35,360 : x
  2. Step 2: Convert to fraction form
    26,528/35,360 = 35,360/x
  3. Step 3: Cross multiply
    26,528x = 35,360 × 35,360
  4. Step 4: Simplify right side
    26,528x = 1,250,329,600
  5. Step 5: Solve for x
    x = 1,250,329,600/26,528
  6. Step 6: Final answer
    x = 47,132.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.