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Finding the Third Proportional to 10,018.69 and 15,573.94

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Solution

The third proportional to 10,018.69 and 15,573.94 is: 24,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.69 : 15,573.94 = 15,573.94 : x
  2. Step 2: Convert to fraction form
    10,018.69/15,573.94 = 15,573.94/x
  3. Step 3: Cross multiply
    10,018.69x = 15,573.94 × 15,573.94
  4. Step 4: Simplify right side
    10,018.69x = 242,547,529.25
  5. Step 5: Solve for x
    x = 242,547,529.25/10,018.69
  6. Step 6: Final answer
    x = 24,209.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.