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Finding the Third Proportional to 29,557 and 63,803

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Solution

The third proportional to 29,557 and 63,803 is: 137,727.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,557 : 63,803 = 63,803 : x
  2. Step 2: Convert to fraction form
    29,557/63,803 = 63,803/x
  3. Step 3: Cross multiply
    29,557x = 63,803 × 63,803
  4. Step 4: Simplify right side
    29,557x = 4,070,822,809
  5. Step 5: Solve for x
    x = 4,070,822,809/29,557
  6. Step 6: Final answer
    x = 137,727.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.