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Finding the Third Proportional to 29,773 and 59,545

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Solution

The third proportional to 29,773 and 59,545 is: 119,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,773 : 59,545 = 59,545 : x
  2. Step 2: Convert to fraction form
    29,773/59,545 = 59,545/x
  3. Step 3: Cross multiply
    29,773x = 59,545 × 59,545
  4. Step 4: Simplify right side
    29,773x = 3,545,607,025
  5. Step 5: Solve for x
    x = 3,545,607,025/29,773
  6. Step 6: Final answer
    x = 119,088.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.