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Finding the Third Proportional to 10,582 and 22,534

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Solution

The third proportional to 10,582 and 22,534 is: 47,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582 : 22,534 = 22,534 : x
  2. Step 2: Convert to fraction form
    10,582/22,534 = 22,534/x
  3. Step 3: Cross multiply
    10,582x = 22,534 × 22,534
  4. Step 4: Simplify right side
    10,582x = 507,781,156
  5. Step 5: Solve for x
    x = 507,781,156/10,582
  6. Step 6: Final answer
    x = 47,985.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.