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Finding the Third Proportional to 16,345.13 and 20,071.13

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Solution

The third proportional to 16,345.13 and 20,071.13 is: 24,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,345.13 : 20,071.13 = 20,071.13 : x
  2. Step 2: Convert to fraction form
    16,345.13/20,071.13 = 20,071.13/x
  3. Step 3: Cross multiply
    16,345.13x = 20,071.13 × 20,071.13
  4. Step 4: Simplify right side
    16,345.13x = 402,850,058.77
  5. Step 5: Solve for x
    x = 402,850,058.77/16,345.13
  6. Step 6: Final answer
    x = 24,646.50

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.