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Finding the Third Proportional to 17,440 and 27,776

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Solution

The third proportional to 17,440 and 27,776 is: 44,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,440 : 27,776 = 27,776 : x
  2. Step 2: Convert to fraction form
    17,440/27,776 = 27,776/x
  3. Step 3: Cross multiply
    17,440x = 27,776 × 27,776
  4. Step 4: Simplify right side
    17,440x = 771,506,176
  5. Step 5: Solve for x
    x = 771,506,176/17,440
  6. Step 6: Final answer
    x = 44,237.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.