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Finding the Third Proportional to 29,046 and 63,630

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Solution

The third proportional to 29,046 and 63,630 is: 139,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,046 : 63,630 = 63,630 : x
  2. Step 2: Convert to fraction form
    29,046/63,630 = 63,630/x
  3. Step 3: Cross multiply
    29,046x = 63,630 × 63,630
  4. Step 4: Simplify right side
    29,046x = 4,048,776,900
  5. Step 5: Solve for x
    x = 4,048,776,900/29,046
  6. Step 6: Final answer
    x = 139,391.89

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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.