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Finding the Third Proportional to 7,006 and 15,312

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Solution

The third proportional to 7,006 and 15,312 is: 33,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006 : 15,312 = 15,312 : x
  2. Step 2: Convert to fraction form
    7,006/15,312 = 15,312/x
  3. Step 3: Cross multiply
    7,006x = 15,312 × 15,312
  4. Step 4: Simplify right side
    7,006x = 234,457,344
  5. Step 5: Solve for x
    x = 234,457,344/7,006
  6. Step 6: Final answer
    x = 33,465.22

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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.