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Finding the Third Proportional to 35,758 and 55,528

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Solution

The third proportional to 35,758 and 55,528 is: 86,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,758 : 55,528 = 55,528 : x
  2. Step 2: Convert to fraction form
    35,758/55,528 = 55,528/x
  3. Step 3: Cross multiply
    35,758x = 55,528 × 55,528
  4. Step 4: Simplify right side
    35,758x = 3,083,358,784
  5. Step 5: Solve for x
    x = 3,083,358,784/35,758
  6. Step 6: Final answer
    x = 86,228.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.