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Finding the Third Proportional to 1,065.02 and 2,329.38

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Solution

The third proportional to 1,065.02 and 2,329.38 is: 5,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.02 : 2,329.38 = 2,329.38 : x
  2. Step 2: Convert to fraction form
    1,065.02/2,329.38 = 2,329.38/x
  3. Step 3: Cross multiply
    1,065.02x = 2,329.38 × 2,329.38
  4. Step 4: Simplify right side
    1,065.02x = 5,426,024.29
  5. Step 5: Solve for x
    x = 5,426,024.29/1,065.02
  6. Step 6: Final answer
    x = 5,094.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.