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Finding the Third Proportional to 36,457 and 52,133

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Solution

The third proportional to 36,457 and 52,133 is: 74,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,457 : 52,133 = 52,133 : x
  2. Step 2: Convert to fraction form
    36,457/52,133 = 52,133/x
  3. Step 3: Cross multiply
    36,457x = 52,133 × 52,133
  4. Step 4: Simplify right side
    36,457x = 2,717,849,689
  5. Step 5: Solve for x
    x = 2,717,849,689/36,457
  6. Step 6: Final answer
    x = 74,549.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.