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Finding the Third Proportional to 22,312 and 32,572

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Solution

The third proportional to 22,312 and 32,572 is: 47,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312 : 32,572 = 32,572 : x
  2. Step 2: Convert to fraction form
    22,312/32,572 = 32,572/x
  3. Step 3: Cross multiply
    22,312x = 32,572 × 32,572
  4. Step 4: Simplify right side
    22,312x = 1,060,935,184
  5. Step 5: Solve for x
    x = 1,060,935,184/22,312
  6. Step 6: Final answer
    x = 47,549.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.