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Finding the Third Proportional to 44,924 and 70,262

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Solution

The third proportional to 44,924 and 70,262 is: 109,891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,924 : 70,262 = 70,262 : x
  2. Step 2: Convert to fraction form
    44,924/70,262 = 70,262/x
  3. Step 3: Cross multiply
    44,924x = 70,262 × 70,262
  4. Step 4: Simplify right side
    44,924x = 4,936,748,644
  5. Step 5: Solve for x
    x = 4,936,748,644/44,924
  6. Step 6: Final answer
    x = 109,891.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.