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Finding the Third Proportional to 10,045.13 and 15,328.13

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Solution

The third proportional to 10,045.13 and 15,328.13 is: 23,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.13 : 15,328.13 = 15,328.13 : x
  2. Step 2: Convert to fraction form
    10,045.13/15,328.13 = 15,328.13/x
  3. Step 3: Cross multiply
    10,045.13x = 15,328.13 × 15,328.13
  4. Step 4: Simplify right side
    10,045.13x = 234,951,416.02
  5. Step 5: Solve for x
    x = 234,951,416.02/10,045.13
  6. Step 6: Final answer
    x = 23,389.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.