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Finding the Third Proportional to 14,528 and 22,361

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Solution

The third proportional to 14,528 and 22,361 is: 34,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,528 : 22,361 = 22,361 : x
  2. Step 2: Convert to fraction form
    14,528/22,361 = 22,361/x
  3. Step 3: Cross multiply
    14,528x = 22,361 × 22,361
  4. Step 4: Simplify right side
    14,528x = 500,014,321
  5. Step 5: Solve for x
    x = 500,014,321/14,528
  6. Step 6: Final answer
    x = 34,417.29

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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.