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Finding the Third Proportional to 16,518.38 and 23,547.38

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Solution

The third proportional to 16,518.38 and 23,547.38 is: 33,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,518.38 : 23,547.38 = 23,547.38 : x
  2. Step 2: Convert to fraction form
    16,518.38/23,547.38 = 23,547.38/x
  3. Step 3: Cross multiply
    16,518.38x = 23,547.38 × 23,547.38
  4. Step 4: Simplify right side
    16,518.38x = 554,478,869.39
  5. Step 5: Solve for x
    x = 554,478,869.39/16,518.38
  6. Step 6: Final answer
    x = 33,567.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.