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Finding the Third Proportional to 12,547.69 and 18,927.84

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Solution

The third proportional to 12,547.69 and 18,927.84 is: 28,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.69 : 18,927.84 = 18,927.84 : x
  2. Step 2: Convert to fraction form
    12,547.69/18,927.84 = 18,927.84/x
  3. Step 3: Cross multiply
    12,547.69x = 18,927.84 × 18,927.84
  4. Step 4: Simplify right side
    12,547.69x = 358,263,269.02
  5. Step 5: Solve for x
    x = 358,263,269.02/12,547.69
  6. Step 6: Final answer
    x = 28,552.14

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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.