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Finding the Third Proportional to 15,012 and 23,549.06

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Solution

The third proportional to 15,012 and 23,549.06 is: 36,941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012 : 23,549.06 = 23,549.06 : x
  2. Step 2: Convert to fraction form
    15,012/23,549.06 = 23,549.06/x
  3. Step 3: Cross multiply
    15,012x = 23,549.06 × 23,549.06
  4. Step 4: Simplify right side
    15,012x = 554,558,344.63
  5. Step 5: Solve for x
    x = 554,558,344.63/15,012
  6. Step 6: Final answer
    x = 36,941.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.