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Finding the Third Proportional to 43,074 and 66,528

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Solution

The third proportional to 43,074 and 66,528 is: 102,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,074 : 66,528 = 66,528 : x
  2. Step 2: Convert to fraction form
    43,074/66,528 = 66,528/x
  3. Step 3: Cross multiply
    43,074x = 66,528 × 66,528
  4. Step 4: Simplify right side
    43,074x = 4,425,974,784
  5. Step 5: Solve for x
    x = 4,425,974,784/43,074
  6. Step 6: Final answer
    x = 102,752.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.