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Finding the Third Proportional to 45,322 and 63,709

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Solution

The third proportional to 45,322 and 63,709 is: 89,555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,322 : 63,709 = 63,709 : x
  2. Step 2: Convert to fraction form
    45,322/63,709 = 63,709/x
  3. Step 3: Cross multiply
    45,322x = 63,709 × 63,709
  4. Step 4: Simplify right side
    45,322x = 4,058,836,681
  5. Step 5: Solve for x
    x = 4,058,836,681/45,322
  6. Step 6: Final answer
    x = 89,555.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.