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Finding the Third Proportional to 29,925 and 63,495

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Solution

The third proportional to 29,925 and 63,495 is: 134,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,925 : 63,495 = 63,495 : x
  2. Step 2: Convert to fraction form
    29,925/63,495 = 63,495/x
  3. Step 3: Cross multiply
    29,925x = 63,495 × 63,495
  4. Step 4: Simplify right side
    29,925x = 4,031,615,025
  5. Step 5: Solve for x
    x = 4,031,615,025/29,925
  6. Step 6: Final answer
    x = 134,723.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.