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Finding the Third Proportional to 10,130.06 and 16,026.19

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Solution

The third proportional to 10,130.06 and 16,026.19 is: 25,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.06 : 16,026.19 = 16,026.19 : x
  2. Step 2: Convert to fraction form
    10,130.06/16,026.19 = 16,026.19/x
  3. Step 3: Cross multiply
    10,130.06x = 16,026.19 × 16,026.19
  4. Step 4: Simplify right side
    10,130.06x = 256,838,685.79
  5. Step 5: Solve for x
    x = 256,838,685.79/10,130.06
  6. Step 6: Final answer
    x = 25,354.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.