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Finding the Third Proportional to 14,865 and 21,769.50

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Solution

The third proportional to 14,865 and 21,769.50 is: 31,881.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865 : 21,769.50 = 21,769.50 : x
  2. Step 2: Convert to fraction form
    14,865/21,769.50 = 21,769.50/x
  3. Step 3: Cross multiply
    14,865x = 21,769.50 × 21,769.50
  4. Step 4: Simplify right side
    14,865x = 473,911,130.25
  5. Step 5: Solve for x
    x = 473,911,130.25/14,865
  6. Step 6: Final answer
    x = 31,881.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.