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Finding the Third Proportional to 29,142 and 63,473.63

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Solution

The third proportional to 29,142 and 63,473.63 is: 138,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142 : 63,473.63 = 63,473.63 : x
  2. Step 2: Convert to fraction form
    29,142/63,473.63 = 63,473.63/x
  3. Step 3: Cross multiply
    29,142x = 63,473.63 × 63,473.63
  4. Step 4: Simplify right side
    29,142x = 4,028,901,070.64
  5. Step 5: Solve for x
    x = 4,028,901,070.64/29,142
  6. Step 6: Final answer
    x = 138,250.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.