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Finding the Third Proportional to 10,543.09 and 15,656.06

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Solution

The third proportional to 10,543.09 and 15,656.06 is: 23,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.09 : 15,656.06 = 15,656.06 : x
  2. Step 2: Convert to fraction form
    10,543.09/15,656.06 = 15,656.06/x
  3. Step 3: Cross multiply
    10,543.09x = 15,656.06 × 15,656.06
  4. Step 4: Simplify right side
    10,543.09x = 245,112,155.40
  5. Step 5: Solve for x
    x = 245,112,155.40/10,543.09
  6. Step 6: Final answer
    x = 23,248.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.