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Finding the Third Proportional to 4,650 and 10,070

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Solution

The third proportional to 4,650 and 10,070 is: 21,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650 : 10,070 = 10,070 : x
  2. Step 2: Convert to fraction form
    4,650/10,070 = 10,070/x
  3. Step 3: Cross multiply
    4,650x = 10,070 × 10,070
  4. Step 4: Simplify right side
    4,650x = 101,404,900
  5. Step 5: Solve for x
    x = 101,404,900/4,650
  6. Step 6: Final answer
    x = 21,807.51

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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.