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Finding the Third Proportional to 14,564 and 22,386

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Solution

The third proportional to 14,564 and 22,386 is: 34,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564 : 22,386 = 22,386 : x
  2. Step 2: Convert to fraction form
    14,564/22,386 = 22,386/x
  3. Step 3: Cross multiply
    14,564x = 22,386 × 22,386
  4. Step 4: Simplify right side
    14,564x = 501,132,996
  5. Step 5: Solve for x
    x = 501,132,996/14,564
  6. Step 6: Final answer
    x = 34,409.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.