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Finding the Third Proportional to 9,829.13 and 21,386.25

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Solution

The third proportional to 9,829.13 and 21,386.25 is: 46,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.13 : 21,386.25 = 21,386.25 : x
  2. Step 2: Convert to fraction form
    9,829.13/21,386.25 = 21,386.25/x
  3. Step 3: Cross multiply
    9,829.13x = 21,386.25 × 21,386.25
  4. Step 4: Simplify right side
    9,829.13x = 457,371,689.06
  5. Step 5: Solve for x
    x = 457,371,689.06/9,829.13
  6. Step 6: Final answer
    x = 46,532.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.