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Finding the Third Proportional to 47,637 and 70,030

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Solution

The third proportional to 47,637 and 70,030 is: 102,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,637 : 70,030 = 70,030 : x
  2. Step 2: Convert to fraction form
    47,637/70,030 = 70,030/x
  3. Step 3: Cross multiply
    47,637x = 70,030 × 70,030
  4. Step 4: Simplify right side
    47,637x = 4,904,200,900
  5. Step 5: Solve for x
    x = 4,904,200,900/47,637
  6. Step 6: Final answer
    x = 102,949.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.