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Finding the Third Proportional to 7,045.10 and 15,314.70

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Solution

The third proportional to 7,045.10 and 15,314.70 is: 33,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.10 : 15,314.70 = 15,314.70 : x
  2. Step 2: Convert to fraction form
    7,045.10/15,314.70 = 15,314.70/x
  3. Step 3: Cross multiply
    7,045.10x = 15,314.70 × 15,314.70
  4. Step 4: Simplify right side
    7,045.10x = 234,539,892.51
  5. Step 5: Solve for x
    x = 234,539,892.51/7,045.10
  6. Step 6: Final answer
    x = 33,291.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.