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Finding the Third Proportional to 10,972.13 and 22,685.06

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Solution

The third proportional to 10,972.13 and 22,685.06 is: 46,901.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.13 : 22,685.06 = 22,685.06 : x
  2. Step 2: Convert to fraction form
    10,972.13/22,685.06 = 22,685.06/x
  3. Step 3: Cross multiply
    10,972.13x = 22,685.06 × 22,685.06
  4. Step 4: Simplify right side
    10,972.13x = 514,612,060.63
  5. Step 5: Solve for x
    x = 514,612,060.63/10,972.13
  6. Step 6: Final answer
    x = 46,901.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.