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Finding the Third Proportional to 29,133 and 63,557

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Solution

The third proportional to 29,133 and 63,557 is: 138,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,133 : 63,557 = 63,557 : x
  2. Step 2: Convert to fraction form
    29,133/63,557 = 63,557/x
  3. Step 3: Cross multiply
    29,133x = 63,557 × 63,557
  4. Step 4: Simplify right side
    29,133x = 4,039,492,249
  5. Step 5: Solve for x
    x = 4,039,492,249/29,133
  6. Step 6: Final answer
    x = 138,656.93

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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.