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Finding the Third Proportional to 14,294.81 and 21,547.69

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Solution

The third proportional to 14,294.81 and 21,547.69 is: 32,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.81 : 21,547.69 = 21,547.69 : x
  2. Step 2: Convert to fraction form
    14,294.81/21,547.69 = 21,547.69/x
  3. Step 3: Cross multiply
    14,294.81x = 21,547.69 × 21,547.69
  4. Step 4: Simplify right side
    14,294.81x = 464,302,836.60
  5. Step 5: Solve for x
    x = 464,302,836.60/14,294.81
  6. Step 6: Final answer
    x = 32,480.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.