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Finding the Third Proportional to 18,174 and 24,547.50

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Solution

The third proportional to 18,174 and 24,547.50 is: 33,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,174 : 24,547.50 = 24,547.50 : x
  2. Step 2: Convert to fraction form
    18,174/24,547.50 = 24,547.50/x
  3. Step 3: Cross multiply
    18,174x = 24,547.50 × 24,547.50
  4. Step 4: Simplify right side
    18,174x = 602,579,756.25
  5. Step 5: Solve for x
    x = 602,579,756.25/18,174
  6. Step 6: Final answer
    x = 33,156.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.