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Finding the Third Proportional to 15,461.09 and 23,151.13

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Solution

The third proportional to 15,461.09 and 23,151.13 is: 34,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,461.09 : 23,151.13 = 23,151.13 : x
  2. Step 2: Convert to fraction form
    15,461.09/23,151.13 = 23,151.13/x
  3. Step 3: Cross multiply
    15,461.09x = 23,151.13 × 23,151.13
  4. Step 4: Simplify right side
    15,461.09x = 535,974,769.63
  5. Step 5: Solve for x
    x = 535,974,769.63/15,461.09
  6. Step 6: Final answer
    x = 34,666.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.