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Finding the Third Proportional to 14,307.33 and 21,047.34

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Solution

The third proportional to 14,307.33 and 21,047.34 is: 30,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.33 : 21,047.34 = 21,047.34 : x
  2. Step 2: Convert to fraction form
    14,307.33/21,047.34 = 21,047.34/x
  3. Step 3: Cross multiply
    14,307.33x = 21,047.34 × 21,047.34
  4. Step 4: Simplify right side
    14,307.33x = 442,990,678.93
  5. Step 5: Solve for x
    x = 442,990,678.93/14,307.33
  6. Step 6: Final answer
    x = 30,962.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.