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Finding the Third Proportional to 2,715.19 and 7,045.31

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Solution

The third proportional to 2,715.19 and 7,045.31 is: 18,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.19 : 7,045.31 = 7,045.31 : x
  2. Step 2: Convert to fraction form
    2,715.19/7,045.31 = 7,045.31/x
  3. Step 3: Cross multiply
    2,715.19x = 7,045.31 × 7,045.31
  4. Step 4: Simplify right side
    2,715.19x = 49,636,428.22
  5. Step 5: Solve for x
    x = 49,636,428.22/2,715.19
  6. Step 6: Final answer
    x = 18,281.03

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.