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Finding the Third Proportional to 9,756.07 and 21,084.05

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Solution

The third proportional to 9,756.07 and 21,084.05 is: 45,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.07 : 21,084.05 = 21,084.05 : x
  2. Step 2: Convert to fraction form
    9,756.07/21,084.05 = 21,084.05/x
  3. Step 3: Cross multiply
    9,756.07x = 21,084.05 × 21,084.05
  4. Step 4: Simplify right side
    9,756.07x = 444,537,032.63
  5. Step 5: Solve for x
    x = 444,537,032.63/9,756.07
  6. Step 6: Final answer
    x = 45,565.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.