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Finding the Third Proportional to 24,473 and 35,332

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Solution

The third proportional to 24,473 and 35,332 is: 51,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,473 : 35,332 = 35,332 : x
  2. Step 2: Convert to fraction form
    24,473/35,332 = 35,332/x
  3. Step 3: Cross multiply
    24,473x = 35,332 × 35,332
  4. Step 4: Simplify right side
    24,473x = 1,248,350,224
  5. Step 5: Solve for x
    x = 1,248,350,224/24,473
  6. Step 6: Final answer
    x = 51,009.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.