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Finding the Third Proportional to 24,931 and 53,776

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Solution

The third proportional to 24,931 and 53,776 is: 115,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,931 : 53,776 = 53,776 : x
  2. Step 2: Convert to fraction form
    24,931/53,776 = 53,776/x
  3. Step 3: Cross multiply
    24,931x = 53,776 × 53,776
  4. Step 4: Simplify right side
    24,931x = 2,891,858,176
  5. Step 5: Solve for x
    x = 2,891,858,176/24,931
  6. Step 6: Final answer
    x = 115,994.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.