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Finding the Third Proportional to 12,897.56 and 28,225.13

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Solution

The third proportional to 12,897.56 and 28,225.13 is: 61,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.56 : 28,225.13 = 28,225.13 : x
  2. Step 2: Convert to fraction form
    12,897.56/28,225.13 = 28,225.13/x
  3. Step 3: Cross multiply
    12,897.56x = 28,225.13 × 28,225.13
  4. Step 4: Simplify right side
    12,897.56x = 796,657,681.27
  5. Step 5: Solve for x
    x = 796,657,681.27/12,897.56
  6. Step 6: Final answer
    x = 61,768.08

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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.