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Finding the Third Proportional to 10,528 and 24,310

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Solution

The third proportional to 10,528 and 24,310 is: 56,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528 : 24,310 = 24,310 : x
  2. Step 2: Convert to fraction form
    10,528/24,310 = 24,310/x
  3. Step 3: Cross multiply
    10,528x = 24,310 × 24,310
  4. Step 4: Simplify right side
    10,528x = 590,976,100
  5. Step 5: Solve for x
    x = 590,976,100/10,528
  6. Step 6: Final answer
    x = 56,133.75

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.