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Finding the Third Proportional to 15,681.75 and 37,927.13

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Solution

The third proportional to 15,681.75 and 37,927.13 is: 91,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681.75 : 37,927.13 = 37,927.13 : x
  2. Step 2: Convert to fraction form
    15,681.75/37,927.13 = 37,927.13/x
  3. Step 3: Cross multiply
    15,681.75x = 37,927.13 × 37,927.13
  4. Step 4: Simplify right side
    15,681.75x = 1,438,466,810.77
  5. Step 5: Solve for x
    x = 1,438,466,810.77/15,681.75
  6. Step 6: Final answer
    x = 91,728.72

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.