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Finding the Third Proportional to 12,316 and 14,460

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Solution

The third proportional to 12,316 and 14,460 is: 16,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316 : 14,460 = 14,460 : x
  2. Step 2: Convert to fraction form
    12,316/14,460 = 14,460/x
  3. Step 3: Cross multiply
    12,316x = 14,460 × 14,460
  4. Step 4: Simplify right side
    12,316x = 209,091,600
  5. Step 5: Solve for x
    x = 209,091,600/12,316
  6. Step 6: Final answer
    x = 16,977.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.