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Finding the Third Proportional to 7,045 and 15,066

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Solution

The third proportional to 7,045 and 15,066 is: 32,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045 : 15,066 = 15,066 : x
  2. Step 2: Convert to fraction form
    7,045/15,066 = 15,066/x
  3. Step 3: Cross multiply
    7,045x = 15,066 × 15,066
  4. Step 4: Simplify right side
    7,045x = 226,984,356
  5. Step 5: Solve for x
    x = 226,984,356/7,045
  6. Step 6: Final answer
    x = 32,219.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.