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Finding the Third Proportional to 1,000.13 and 1,523.06

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Solution

The third proportional to 1,000.13 and 1,523.06 is: 2,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.13 : 1,523.06 = 1,523.06 : x
  2. Step 2: Convert to fraction form
    1,000.13/1,523.06 = 1,523.06/x
  3. Step 3: Cross multiply
    1,000.13x = 1,523.06 × 1,523.06
  4. Step 4: Simplify right side
    1,000.13x = 2,319,719.38
  5. Step 5: Solve for x
    x = 2,319,719.38/1,000.13
  6. Step 6: Final answer
    x = 2,319.43

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Why These Related Problems?

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