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Finding the Third Proportional to 3,016.13 and 4,595.06

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Solution

The third proportional to 3,016.13 and 4,595.06 is: 7,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.13 : 4,595.06 = 4,595.06 : x
  2. Step 2: Convert to fraction form
    3,016.13/4,595.06 = 4,595.06/x
  3. Step 3: Cross multiply
    3,016.13x = 4,595.06 × 4,595.06
  4. Step 4: Simplify right side
    3,016.13x = 21,114,599.38
  5. Step 5: Solve for x
    x = 21,114,599.38/3,016.13
  6. Step 6: Final answer
    x = 7,000.57

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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.