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Finding the Third Proportional to 24,319 and 34,776

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Solution

The third proportional to 24,319 and 34,776 is: 49,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,319 : 34,776 = 34,776 : x
  2. Step 2: Convert to fraction form
    24,319/34,776 = 34,776/x
  3. Step 3: Cross multiply
    24,319x = 34,776 × 34,776
  4. Step 4: Simplify right side
    24,319x = 1,209,370,176
  5. Step 5: Solve for x
    x = 1,209,370,176/24,319
  6. Step 6: Final answer
    x = 49,729.44

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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.