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Finding the Third Proportional to 14,526 and 28,657.13

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Solution

The third proportional to 14,526 and 28,657.13 is: 56,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526 : 28,657.13 = 28,657.13 : x
  2. Step 2: Convert to fraction form
    14,526/28,657.13 = 28,657.13/x
  3. Step 3: Cross multiply
    14,526x = 28,657.13 × 28,657.13
  4. Step 4: Simplify right side
    14,526x = 821,230,813.27
  5. Step 5: Solve for x
    x = 821,230,813.27/14,526
  6. Step 6: Final answer
    x = 56,535.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.