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Finding the Third Proportional to 12,970.13 and 14,838.19

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Solution

The third proportional to 12,970.13 and 14,838.19 is: 16,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.13 : 14,838.19 = 14,838.19 : x
  2. Step 2: Convert to fraction form
    12,970.13/14,838.19 = 14,838.19/x
  3. Step 3: Cross multiply
    12,970.13x = 14,838.19 × 14,838.19
  4. Step 4: Simplify right side
    12,970.13x = 220,171,808.29
  5. Step 5: Solve for x
    x = 220,171,808.29/12,970.13
  6. Step 6: Final answer
    x = 16,975.30

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.