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Finding the Third Proportional to 527.13 and 1,151.51

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Solution

The third proportional to 527.13 and 1,151.51 is: 2,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.13 : 1,151.51 = 1,151.51 : x
  2. Step 2: Convert to fraction form
    527.13/1,151.51 = 1,151.51/x
  3. Step 3: Cross multiply
    527.13x = 1,151.51 × 1,151.51
  4. Step 4: Simplify right side
    527.13x = 1,325,970.24
  5. Step 5: Solve for x
    x = 1,325,970.24/527.13
  6. Step 6: Final answer
    x = 2,515.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.