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Finding the Third Proportional to 27,175.88 and 42,952.50

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Solution

The third proportional to 27,175.88 and 42,952.50 is: 67,888.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175.88 : 42,952.50 = 42,952.50 : x
  2. Step 2: Convert to fraction form
    27,175.88/42,952.50 = 42,952.50/x
  3. Step 3: Cross multiply
    27,175.88x = 42,952.50 × 42,952.50
  4. Step 4: Simplify right side
    27,175.88x = 1,844,917,256.25
  5. Step 5: Solve for x
    x = 1,844,917,256.25/27,175.88
  6. Step 6: Final answer
    x = 67,888.05

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.