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Finding the Third Proportional to 22,070.50 and 31,528

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Solution

The third proportional to 22,070.50 and 31,528 is: 45,038.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,070.50 : 31,528 = 31,528 : x
  2. Step 2: Convert to fraction form
    22,070.50/31,528 = 31,528/x
  3. Step 3: Cross multiply
    22,070.50x = 31,528 × 31,528
  4. Step 4: Simplify right side
    22,070.50x = 994,014,784
  5. Step 5: Solve for x
    x = 994,014,784/22,070.50
  6. Step 6: Final answer
    x = 45,038.16

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.