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Finding the Third Proportional to 27,752.63 and 42,319.69

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Solution

The third proportional to 27,752.63 and 42,319.69 is: 64,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,752.63 : 42,319.69 = 42,319.69 : x
  2. Step 2: Convert to fraction form
    27,752.63/42,319.69 = 42,319.69/x
  3. Step 3: Cross multiply
    27,752.63x = 42,319.69 × 42,319.69
  4. Step 4: Simplify right side
    27,752.63x = 1,790,955,950.10
  5. Step 5: Solve for x
    x = 1,790,955,950.10/27,752.63
  6. Step 6: Final answer
    x = 64,532.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.