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Finding the Third Proportional to 11,985.47 and 26,307.91

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Solution

The third proportional to 11,985.47 and 26,307.91 is: 57,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.47 : 26,307.91 = 26,307.91 : x
  2. Step 2: Convert to fraction form
    11,985.47/26,307.91 = 26,307.91/x
  3. Step 3: Cross multiply
    11,985.47x = 26,307.91 × 26,307.91
  4. Step 4: Simplify right side
    11,985.47x = 692,106,342.32
  5. Step 5: Solve for x
    x = 692,106,342.32/11,985.47
  6. Step 6: Final answer
    x = 57,745.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.