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Finding the Third Proportional to 10,869.75 and 22,547.25

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Solution

The third proportional to 10,869.75 and 22,547.25 is: 46,770.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.75 : 22,547.25 = 22,547.25 : x
  2. Step 2: Convert to fraction form
    10,869.75/22,547.25 = 22,547.25/x
  3. Step 3: Cross multiply
    10,869.75x = 22,547.25 × 22,547.25
  4. Step 4: Simplify right side
    10,869.75x = 508,378,482.56
  5. Step 5: Solve for x
    x = 508,378,482.56/10,869.75
  6. Step 6: Final answer
    x = 46,770.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.