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Finding the Third Proportional to 15,461.72 and 23,101.03

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Solution

The third proportional to 15,461.72 and 23,101.03 is: 34,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,461.72 : 23,101.03 = 23,101.03 : x
  2. Step 2: Convert to fraction form
    15,461.72/23,101.03 = 23,101.03/x
  3. Step 3: Cross multiply
    15,461.72x = 23,101.03 × 23,101.03
  4. Step 4: Simplify right side
    15,461.72x = 533,657,644.81
  5. Step 5: Solve for x
    x = 533,657,644.81/15,461.72
  6. Step 6: Final answer
    x = 34,514.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.