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Finding the Third Proportional to 14,526 and 23,089.50

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Solution

The third proportional to 14,526 and 23,089.50 is: 36,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526 : 23,089.50 = 23,089.50 : x
  2. Step 2: Convert to fraction form
    14,526/23,089.50 = 23,089.50/x
  3. Step 3: Cross multiply
    14,526x = 23,089.50 × 23,089.50
  4. Step 4: Simplify right side
    14,526x = 533,125,010.25
  5. Step 5: Solve for x
    x = 533,125,010.25/14,526
  6. Step 6: Final answer
    x = 36,701.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.