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Finding the Third Proportional to 14,535 and 22,502

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Solution

The third proportional to 14,535 and 22,502 is: 34,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,535 : 22,502 = 22,502 : x
  2. Step 2: Convert to fraction form
    14,535/22,502 = 22,502/x
  3. Step 3: Cross multiply
    14,535x = 22,502 × 22,502
  4. Step 4: Simplify right side
    14,535x = 506,340,004
  5. Step 5: Solve for x
    x = 506,340,004/14,535
  6. Step 6: Final answer
    x = 34,835.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.