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Finding the Third Proportional to 13,024 and 27,776

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Solution

The third proportional to 13,024 and 27,776 is: 59,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024 : 27,776 = 27,776 : x
  2. Step 2: Convert to fraction form
    13,024/27,776 = 27,776/x
  3. Step 3: Cross multiply
    13,024x = 27,776 × 27,776
  4. Step 4: Simplify right side
    13,024x = 771,506,176
  5. Step 5: Solve for x
    x = 771,506,176/13,024
  6. Step 6: Final answer
    x = 59,237.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.