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Finding the Third Proportional to 10,547.72 and 22,571.16

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Solution

The third proportional to 10,547.72 and 22,571.16 is: 48,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.72 : 22,571.16 = 22,571.16 : x
  2. Step 2: Convert to fraction form
    10,547.72/22,571.16 = 22,571.16/x
  3. Step 3: Cross multiply
    10,547.72x = 22,571.16 × 22,571.16
  4. Step 4: Simplify right side
    10,547.72x = 509,457,094.46
  5. Step 5: Solve for x
    x = 509,457,094.46/10,547.72
  6. Step 6: Final answer
    x = 48,300.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.